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University of Georgia

1. Pine, Eric Jason. Sums of integer cubes.

Degree: PhD, Mathematics, 2004, University of Georgia

URL: http://purl.galileo.usg.edu/uga_etd/pine_eric_j_200405_phd

► Taxicab numbers, of Hardy and Ramanujan fame, are positive integers which can be represented as the sum of two positive integer cubes, in two distinct…
(more)

Subjects/Keywords: Diophantine Equations

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APA (6^{th} Edition):

Pine, E. J. (2004). Sums of integer cubes. (Doctoral Dissertation). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/pine_eric_j_200405_phd

Chicago Manual of Style (16^{th} Edition):

Pine, Eric Jason. “Sums of integer cubes.” 2004. Doctoral Dissertation, University of Georgia. Accessed August 26, 2019. http://purl.galileo.usg.edu/uga_etd/pine_eric_j_200405_phd.

MLA Handbook (7^{th} Edition):

Pine, Eric Jason. “Sums of integer cubes.” 2004. Web. 26 Aug 2019.

Vancouver:

Pine EJ. Sums of integer cubes. [Internet] [Doctoral dissertation]. University of Georgia; 2004. [cited 2019 Aug 26]. Available from: http://purl.galileo.usg.edu/uga_etd/pine_eric_j_200405_phd.

Council of Science Editors:

Pine EJ. Sums of integer cubes. [Doctoral Dissertation]. University of Georgia; 2004. Available from: http://purl.galileo.usg.edu/uga_etd/pine_eric_j_200405_phd

Montana State University

2. Buhanan, David Bryant. On some aspects of cocyclic subshifts, languages, and automata.

Degree: College of Letters & Science, 2012, Montana State University

URL: https://scholarworks.montana.edu/xmlui/handle/1/1008

► In this thesis we examine the class of cocyclic subshifts. First, we give a method of modeling the zeros of *Diophantine* *equations* in the multiplication…
(more)

Subjects/Keywords: Cocyclic subshifts.; Diophantine equations.

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APA (6^{th} Edition):

Buhanan, D. B. (2012). On some aspects of cocyclic subshifts, languages, and automata. (Thesis). Montana State University. Retrieved from https://scholarworks.montana.edu/xmlui/handle/1/1008

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Buhanan, David Bryant. “On some aspects of cocyclic subshifts, languages, and automata.” 2012. Thesis, Montana State University. Accessed August 26, 2019. https://scholarworks.montana.edu/xmlui/handle/1/1008.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Buhanan, David Bryant. “On some aspects of cocyclic subshifts, languages, and automata.” 2012. Web. 26 Aug 2019.

Vancouver:

Buhanan DB. On some aspects of cocyclic subshifts, languages, and automata. [Internet] [Thesis]. Montana State University; 2012. [cited 2019 Aug 26]. Available from: https://scholarworks.montana.edu/xmlui/handle/1/1008.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Buhanan DB. On some aspects of cocyclic subshifts, languages, and automata. [Thesis]. Montana State University; 2012. Available from: https://scholarworks.montana.edu/xmlui/handle/1/1008

Not specified: Masters Thesis or Doctoral Dissertation

East Carolina University

3.
Kennedy, Kendra.
* Diophantine* Generation, Galois Theory, and Hilbert's Tenth Problem.

Degree: 2012, East Carolina University

URL: http://hdl.handle.net/10342/3847

► Hilbert's Tenth Problem was a question concerning existence of an algorithm to determine if there were integer solutions to arbitrary polynomial *equations* over the integers.…
(more)

Subjects/Keywords: Mathematics; Diophantine undecidability; Diophantine equations; Hilbert's tenth problem; Galois theory

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APA (6^{th} Edition):

Kennedy, K. (2012). Diophantine Generation, Galois Theory, and Hilbert's Tenth Problem. (Thesis). East Carolina University. Retrieved from http://hdl.handle.net/10342/3847

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Kennedy, Kendra. “Diophantine Generation, Galois Theory, and Hilbert's Tenth Problem.” 2012. Thesis, East Carolina University. Accessed August 26, 2019. http://hdl.handle.net/10342/3847.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Kennedy, Kendra. “Diophantine Generation, Galois Theory, and Hilbert's Tenth Problem.” 2012. Web. 26 Aug 2019.

Vancouver:

Kennedy K. Diophantine Generation, Galois Theory, and Hilbert's Tenth Problem. [Internet] [Thesis]. East Carolina University; 2012. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/10342/3847.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kennedy K. Diophantine Generation, Galois Theory, and Hilbert's Tenth Problem. [Thesis]. East Carolina University; 2012. Available from: http://hdl.handle.net/10342/3847

Not specified: Masters Thesis or Doctoral Dissertation

Hong Kong University of Science and Technology

4.
Fong, Shun Chen.
On the *diophantine* equation (-1)([n]⁻¹)[/]²(([n-1]/2)!)²+a[n]⁻¹=n[k].

Degree: 1997, Hong Kong University of Science and Technology

URL: https://doi.org/10.14711/thesis-b564590 ; http://repository.ust.hk/ir/bitstream/1783.1-5063/1/th_redirect.html

We prove that the equation (-l)(n-1)/2 (((n-1)/2)!)2+an-1=nk in positive integers n, a, k with n > 2 and odd has only two solutions: (n, a, k) = (3,2,1), (5,1,1).

Subjects/Keywords: Diophantine analysis; Equations

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APA (6^{th} Edition):

Fong, S. C. (1997). On the diophantine equation (-1)([n]⁻¹)[/]²(([n-1]/2)!)²+a[n]⁻¹=n[k]. (Thesis). Hong Kong University of Science and Technology. Retrieved from https://doi.org/10.14711/thesis-b564590 ; http://repository.ust.hk/ir/bitstream/1783.1-5063/1/th_redirect.html

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Fong, Shun Chen. “On the diophantine equation (-1)([n]⁻¹)[/]²(([n-1]/2)!)²+a[n]⁻¹=n[k].” 1997. Thesis, Hong Kong University of Science and Technology. Accessed August 26, 2019. https://doi.org/10.14711/thesis-b564590 ; http://repository.ust.hk/ir/bitstream/1783.1-5063/1/th_redirect.html.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Fong, Shun Chen. “On the diophantine equation (-1)([n]⁻¹)[/]²(([n-1]/2)!)²+a[n]⁻¹=n[k].” 1997. Web. 26 Aug 2019.

Vancouver:

Fong SC. On the diophantine equation (-1)([n]⁻¹)[/]²(([n-1]/2)!)²+a[n]⁻¹=n[k]. [Internet] [Thesis]. Hong Kong University of Science and Technology; 1997. [cited 2019 Aug 26]. Available from: https://doi.org/10.14711/thesis-b564590 ; http://repository.ust.hk/ir/bitstream/1783.1-5063/1/th_redirect.html.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fong SC. On the diophantine equation (-1)([n]⁻¹)[/]²(([n-1]/2)!)²+a[n]⁻¹=n[k]. [Thesis]. Hong Kong University of Science and Technology; 1997. Available from: https://doi.org/10.14711/thesis-b564590 ; http://repository.ust.hk/ir/bitstream/1783.1-5063/1/th_redirect.html

Not specified: Masters Thesis or Doctoral Dissertation

Kansas State University

5.
Kaminski, Lance.
A discussion of
homogenous quadratic * equations*.

Degree: MS, Department of Mathematics, 2009, Kansas State University

URL: http://hdl.handle.net/2097/1630

► This thesis will look at Quadratic *Diophantine* *Equations*. Some well known proofs, including how to compute all Pythagorean triples and which numbers can be represented…
(more)

Subjects/Keywords: Number Theory; Diophantine Equations; Mathematics (0405)

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APA (6^{th} Edition):

Kaminski, L. (2009). A discussion of homogenous quadratic equations. (Masters Thesis). Kansas State University. Retrieved from http://hdl.handle.net/2097/1630

Chicago Manual of Style (16^{th} Edition):

Kaminski, Lance. “A discussion of homogenous quadratic equations.” 2009. Masters Thesis, Kansas State University. Accessed August 26, 2019. http://hdl.handle.net/2097/1630.

MLA Handbook (7^{th} Edition):

Kaminski, Lance. “A discussion of homogenous quadratic equations.” 2009. Web. 26 Aug 2019.

Vancouver:

Kaminski L. A discussion of homogenous quadratic equations. [Internet] [Masters thesis]. Kansas State University; 2009. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/2097/1630.

Council of Science Editors:

Kaminski L. A discussion of homogenous quadratic equations. [Masters Thesis]. Kansas State University; 2009. Available from: http://hdl.handle.net/2097/1630

East Carolina University

6.
Kennedy, Kendra.
* Diophantine* Generation Galois Theory and Hilbert's Tenth
Problem.

Degree: 2012, East Carolina University

URL: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=13990

► Hilbert's Tenth Problem was a question concerning existence of an algorithm to determine if there were integer solutions to arbitrary polynomial *equations* over the integers.…
(more)

Subjects/Keywords: Diophantine equations; Hilbert's tenth problem; Galois theory

Record Details Similar Records

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APA (6^{th} Edition):

Kennedy, K. (2012). Diophantine Generation Galois Theory and Hilbert's Tenth Problem. (Masters Thesis). East Carolina University. Retrieved from http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=13990

Chicago Manual of Style (16^{th} Edition):

Kennedy, Kendra. “Diophantine Generation Galois Theory and Hilbert's Tenth Problem.” 2012. Masters Thesis, East Carolina University. Accessed August 26, 2019. http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=13990.

MLA Handbook (7^{th} Edition):

Kennedy, Kendra. “Diophantine Generation Galois Theory and Hilbert's Tenth Problem.” 2012. Web. 26 Aug 2019.

Vancouver:

Kennedy K. Diophantine Generation Galois Theory and Hilbert's Tenth Problem. [Internet] [Masters thesis]. East Carolina University; 2012. [cited 2019 Aug 26]. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=13990.

Council of Science Editors:

Kennedy K. Diophantine Generation Galois Theory and Hilbert's Tenth Problem. [Masters Thesis]. East Carolina University; 2012. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=13990

7.
Hoffmaster, Christina Diane.
An exploration of *Diophantine* * equations*.

Degree: Mathematics, 2012, University of Texas – Austin

URL: http://hdl.handle.net/2152/ETD-UT-2012-08-6042

This paper outlines recent research on Diophantine equations. The topics discussed include methods for generating solutions to specific equations and analysis of patterns in solutions to some specific equations
*Advisors/Committee Members: Odell, E. (Edward) (advisor), Daniels, Mark (committee member).*

Subjects/Keywords: Diophantine equations

…properties of
rational solutions to *Diophantine* *equations*. A gap principle is a method of measuring… …and analyzing the gaps between solutions to *Diophantine* *equations*. An example of a gap
3… …exists for generating a
comprehensive set of solutions for *Diophantine* *equations*. The historic… …Curves Applied to *Diophantine* *Equations*
Unlike the work of Everest and Ward, Jacobi and Madden… …mathematicians have been studying *Diophantine* *equations* for hundreds
of years, there are still varied…

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APA (6^{th} Edition):

Hoffmaster, C. D. (2012). An exploration of Diophantine equations. (Thesis). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/ETD-UT-2012-08-6042

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Hoffmaster, Christina Diane. “An exploration of Diophantine equations.” 2012. Thesis, University of Texas – Austin. Accessed August 26, 2019. http://hdl.handle.net/2152/ETD-UT-2012-08-6042.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Hoffmaster, Christina Diane. “An exploration of Diophantine equations.” 2012. Web. 26 Aug 2019.

Vancouver:

Hoffmaster CD. An exploration of Diophantine equations. [Internet] [Thesis]. University of Texas – Austin; 2012. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/2152/ETD-UT-2012-08-6042.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hoffmaster CD. An exploration of Diophantine equations. [Thesis]. University of Texas – Austin; 2012. Available from: http://hdl.handle.net/2152/ETD-UT-2012-08-6042

Not specified: Masters Thesis or Doctoral Dissertation

Queens University

8. Rundle, Robert John. Generalization of Ruderman's Problem to Imaginary Quadratic Fields .

Degree: Mathematics and Statistics, 2012, Queens University

URL: http://hdl.handle.net/1974/7062

► In 1974, H. Ruderman posed the following question: If (2^{m-2}^{n})|(3^{m-3}^{n}), then does it follow that (2^{m-2}^{n})|(x^{m-x}^{n}) for every integer x? This problem is still open.…
(more)

Subjects/Keywords: Exponential Diophantine equations; Number theory; ABC conjecture; Schmidt's Subspace theorem; Mathematics; Diophantine Equations

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APA (6^{th} Edition):

Rundle, R. J. (2012). Generalization of Ruderman's Problem to Imaginary Quadratic Fields . (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/7062

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Rundle, Robert John. “Generalization of Ruderman's Problem to Imaginary Quadratic Fields .” 2012. Thesis, Queens University. Accessed August 26, 2019. http://hdl.handle.net/1974/7062.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Rundle, Robert John. “Generalization of Ruderman's Problem to Imaginary Quadratic Fields .” 2012. Web. 26 Aug 2019.

Vancouver:

Rundle RJ. Generalization of Ruderman's Problem to Imaginary Quadratic Fields . [Internet] [Thesis]. Queens University; 2012. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/1974/7062.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Rundle RJ. Generalization of Ruderman's Problem to Imaginary Quadratic Fields . [Thesis]. Queens University; 2012. Available from: http://hdl.handle.net/1974/7062

Not specified: Masters Thesis or Doctoral Dissertation

University of Michigan

9.
Weiss, Benjamin Leonard.
*Diophantine**Equations* With Two Separated Variables.

Degree: PhD, Mathematics, 2011, University of Michigan

URL: http://hdl.handle.net/2027.42/89707

► We classify pairs of polynomials G, H ∈ C[T ] such that G(X ) = H (Y ) defines an irreducible curve of genus zero,…
(more)

Subjects/Keywords: Diophantine Equations; Polynomial Decomposition; Genus of Curve; Mathematics; Science

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APA (6^{th} Edition):

Weiss, B. L. (2011). Diophantine Equations With Two Separated Variables. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/89707

Chicago Manual of Style (16^{th} Edition):

Weiss, Benjamin Leonard. “Diophantine Equations With Two Separated Variables.” 2011. Doctoral Dissertation, University of Michigan. Accessed August 26, 2019. http://hdl.handle.net/2027.42/89707.

MLA Handbook (7^{th} Edition):

Weiss, Benjamin Leonard. “Diophantine Equations With Two Separated Variables.” 2011. Web. 26 Aug 2019.

Vancouver:

Weiss BL. Diophantine Equations With Two Separated Variables. [Internet] [Doctoral dissertation]. University of Michigan; 2011. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/2027.42/89707.

Council of Science Editors:

Weiss BL. Diophantine Equations With Two Separated Variables. [Doctoral Dissertation]. University of Michigan; 2011. Available from: http://hdl.handle.net/2027.42/89707

Queens University

10.
Garcia, Natalia.
Curves of low genus on surfaces and applications to *Diophantine* problems
.

Degree: Mathematics and Statistics, 2015, Queens University

URL: http://hdl.handle.net/1974/13545

► We describe in detail a technique due to Vojta for finding the explicit set of curves of low genus on certain algebraic surfaces of general…
(more)

Subjects/Keywords: Arithmetic geometry; Diophantine equations; Bombieri-Lang conjecture; Low genus curves

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APA (6^{th} Edition):

Garcia, N. (2015). Curves of low genus on surfaces and applications to Diophantine problems . (Thesis). Queens University. Retrieved from http://hdl.handle.net/1974/13545

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Garcia, Natalia. “Curves of low genus on surfaces and applications to Diophantine problems .” 2015. Thesis, Queens University. Accessed August 26, 2019. http://hdl.handle.net/1974/13545.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Garcia, Natalia. “Curves of low genus on surfaces and applications to Diophantine problems .” 2015. Web. 26 Aug 2019.

Vancouver:

Garcia N. Curves of low genus on surfaces and applications to Diophantine problems . [Internet] [Thesis]. Queens University; 2015. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/1974/13545.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Garcia N. Curves of low genus on surfaces and applications to Diophantine problems . [Thesis]. Queens University; 2015. Available from: http://hdl.handle.net/1974/13545

Not specified: Masters Thesis or Doctoral Dissertation

11.
Pressly, Kirby Smith.
Some *Diophantine* * Equations*.

Degree: 1960, North Texas State College

URL: https://digital.library.unt.edu/ark:/67531/metadc108074/

► This paper will be devoted to an examination of several general and specific *equations* and systems of *equations* of the *diophantine* type. Only algebraic *equations*…
(more)

Subjects/Keywords: diophantic equations; integers; mathematics; Diophantine equations.

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APA (6^{th} Edition):

Pressly, K. S. (1960). Some Diophantine Equations. (Thesis). North Texas State College. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc108074/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Pressly, Kirby Smith. “Some Diophantine Equations.” 1960. Thesis, North Texas State College. Accessed August 26, 2019. https://digital.library.unt.edu/ark:/67531/metadc108074/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Pressly, Kirby Smith. “Some Diophantine Equations.” 1960. Web. 26 Aug 2019.

Vancouver:

Pressly KS. Some Diophantine Equations. [Internet] [Thesis]. North Texas State College; 1960. [cited 2019 Aug 26]. Available from: https://digital.library.unt.edu/ark:/67531/metadc108074/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pressly KS. Some Diophantine Equations. [Thesis]. North Texas State College; 1960. Available from: https://digital.library.unt.edu/ark:/67531/metadc108074/

Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

12.
Mosunov, Anton.
Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to *Diophantine* * Equations*.

Degree: 2019, University of Waterloo

URL: http://hdl.handle.net/10012/14804

► In this thesis we develop generalizations of two well-known principles from the theory of *Diophantine* approximation, namely the gap principle and the Thue-Siegel principle. Our…
(more)

Subjects/Keywords: Diophantine approximation; Number theory; Diophantine equations; Thue-Siegel principle; Gap principle; Thue equation; Thue-Mahler equation; Binary forms

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APA (6^{th} Edition):

Mosunov, A. (2019). Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to Diophantine Equations. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/14804

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Mosunov, Anton. “Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to Diophantine Equations.” 2019. Thesis, University of Waterloo. Accessed August 26, 2019. http://hdl.handle.net/10012/14804.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Mosunov, Anton. “Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to Diophantine Equations.” 2019. Web. 26 Aug 2019.

Vancouver:

Mosunov A. Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to Diophantine Equations. [Internet] [Thesis]. University of Waterloo; 2019. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/10012/14804.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Mosunov A. Generalizations of the Gap Principle and the Thue-Siegel Principle, with Applications to Diophantine Equations. [Thesis]. University of Waterloo; 2019. Available from: http://hdl.handle.net/10012/14804

Not specified: Masters Thesis or Doctoral Dissertation

California State University – Northridge

13.
Archibald, Janet Susan.
*Diophantine** equations*.

Degree: MS, Department of Mathematics, 1979, California State University – Northridge

URL: http://hdl.handle.net/10211.3/123636

► An equation which contains two or more variables and satisfied by an infinite number of values for each of the unknowns is called indeterminate or…
(more)

Subjects/Keywords: Equations, Diophantine; Dissertations, Academic – CSUN – Mathematics

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APA (6^{th} Edition):

Archibald, J. S. (1979). Diophantine equations. (Masters Thesis). California State University – Northridge. Retrieved from http://hdl.handle.net/10211.3/123636

Chicago Manual of Style (16^{th} Edition):

Archibald, Janet Susan. “Diophantine equations.” 1979. Masters Thesis, California State University – Northridge. Accessed August 26, 2019. http://hdl.handle.net/10211.3/123636.

MLA Handbook (7^{th} Edition):

Archibald, Janet Susan. “Diophantine equations.” 1979. Web. 26 Aug 2019.

Vancouver:

Archibald JS. Diophantine equations. [Internet] [Masters thesis]. California State University – Northridge; 1979. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/10211.3/123636.

Council of Science Editors:

Archibald JS. Diophantine equations. [Masters Thesis]. California State University – Northridge; 1979. Available from: http://hdl.handle.net/10211.3/123636

Delft University of Technology

14. Cucu-Laurenciu, N. RNS support for RSA cryptography:.

Degree: 2010, Delft University of Technology

URL: http://resolver.tudelft.nl/uuid:7dd09f0f-254b-42f1-a852-b61cb9f2bed3

► The majority of currently established public-key cryptosystems, e.g., RSA, ECC, requires modular multiplication in finite fields as their core operation. As a result, the throughput…
(more)

Subjects/Keywords: Residue Number Systems; RNS base extension; Montgomery modular multiplication; RSA cryptography; diophantine equations

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APA (6^{th} Edition):

Cucu-Laurenciu, N. (2010). RNS support for RSA cryptography:. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:7dd09f0f-254b-42f1-a852-b61cb9f2bed3

Chicago Manual of Style (16^{th} Edition):

Cucu-Laurenciu, N. “RNS support for RSA cryptography:.” 2010. Masters Thesis, Delft University of Technology. Accessed August 26, 2019. http://resolver.tudelft.nl/uuid:7dd09f0f-254b-42f1-a852-b61cb9f2bed3.

MLA Handbook (7^{th} Edition):

Cucu-Laurenciu, N. “RNS support for RSA cryptography:.” 2010. Web. 26 Aug 2019.

Vancouver:

Cucu-Laurenciu N. RNS support for RSA cryptography:. [Internet] [Masters thesis]. Delft University of Technology; 2010. [cited 2019 Aug 26]. Available from: http://resolver.tudelft.nl/uuid:7dd09f0f-254b-42f1-a852-b61cb9f2bed3.

Council of Science Editors:

Cucu-Laurenciu N. RNS support for RSA cryptography:. [Masters Thesis]. Delft University of Technology; 2010. Available from: http://resolver.tudelft.nl/uuid:7dd09f0f-254b-42f1-a852-b61cb9f2bed3

George Mason University

15. Dunham, Jill Bigley. On Extremal Coin Graphs, Flowers, and Their Rational Representations .

Degree: 2009, George Mason University

URL: http://hdl.handle.net/1920/4560

► We study extremal coin graphs in the Euclidean plane on n vertices with the maximum number of edges. This is related to the unit coin…
(more)

Subjects/Keywords: coin graph; Galois theory; diophantine equations; plane graphs; symmetric polynomials; discrete geometry

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APA (6^{th} Edition):

Dunham, J. B. (2009). On Extremal Coin Graphs, Flowers, and Their Rational Representations . (Thesis). George Mason University. Retrieved from http://hdl.handle.net/1920/4560

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Dunham, Jill Bigley. “On Extremal Coin Graphs, Flowers, and Their Rational Representations .” 2009. Thesis, George Mason University. Accessed August 26, 2019. http://hdl.handle.net/1920/4560.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Dunham, Jill Bigley. “On Extremal Coin Graphs, Flowers, and Their Rational Representations .” 2009. Web. 26 Aug 2019.

Vancouver:

Dunham JB. On Extremal Coin Graphs, Flowers, and Their Rational Representations . [Internet] [Thesis]. George Mason University; 2009. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/1920/4560.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dunham JB. On Extremal Coin Graphs, Flowers, and Their Rational Representations . [Thesis]. George Mason University; 2009. Available from: http://hdl.handle.net/1920/4560

Not specified: Masters Thesis or Doctoral Dissertation

University of Newcastle

16. Chisholm, Catherine Rachel. Rational and Heron Tetrahedra.

Degree: 2004, University of Newcastle

URL: http://hdl.handle.net/1959.13/24856

►

Rational tetrahedra are tetrahedra with rational edges. Heron tetrahedra are tetrahedra with integer edges, integer faces areas and integer volume – the three-dimensional analogue of… (more)

Subjects/Keywords: heron tetrahedra; rational tetrahedra; diophantine equations

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Chisholm, C. R. (2004). Rational and Heron Tetrahedra. (Thesis). University of Newcastle. Retrieved from http://hdl.handle.net/1959.13/24856

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Chisholm, Catherine Rachel. “Rational and Heron Tetrahedra.” 2004. Thesis, University of Newcastle. Accessed August 26, 2019. http://hdl.handle.net/1959.13/24856.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Chisholm, Catherine Rachel. “Rational and Heron Tetrahedra.” 2004. Web. 26 Aug 2019.

Vancouver:

Chisholm CR. Rational and Heron Tetrahedra. [Internet] [Thesis]. University of Newcastle; 2004. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/1959.13/24856.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Chisholm CR. Rational and Heron Tetrahedra. [Thesis]. University of Newcastle; 2004. Available from: http://hdl.handle.net/1959.13/24856

Not specified: Masters Thesis or Doctoral Dissertation

University of Oulu

17. Heimonen, A. (Ari). On effective irrationality measures for some values of certain hypergeometric functions.

Degree: 1997, University of Oulu

URL: http://urn.fi/urn:isbn:9514247191

► Abstract The dissertation consists of three articles in which irrationality measures for some values of certain special cases of the Gauss hypergeometric function are considered…
(more)

Subjects/Keywords: diophantine equations; divisibility; p-adic; padé approximation

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Heimonen, A. (. (1997). On effective irrationality measures for some values of certain hypergeometric functions. (Doctoral Dissertation). University of Oulu. Retrieved from http://urn.fi/urn:isbn:9514247191

Chicago Manual of Style (16^{th} Edition):

Heimonen, A (Ari). “On effective irrationality measures for some values of certain hypergeometric functions.” 1997. Doctoral Dissertation, University of Oulu. Accessed August 26, 2019. http://urn.fi/urn:isbn:9514247191.

MLA Handbook (7^{th} Edition):

Heimonen, A (Ari). “On effective irrationality measures for some values of certain hypergeometric functions.” 1997. Web. 26 Aug 2019.

Vancouver:

Heimonen A(. On effective irrationality measures for some values of certain hypergeometric functions. [Internet] [Doctoral dissertation]. University of Oulu; 1997. [cited 2019 Aug 26]. Available from: http://urn.fi/urn:isbn:9514247191.

Council of Science Editors:

Heimonen A(. On effective irrationality measures for some values of certain hypergeometric functions. [Doctoral Dissertation]. University of Oulu; 1997. Available from: http://urn.fi/urn:isbn:9514247191

Universidade do Rio Grande do Norte

18. Dantas, Joice de Andrade. De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas .

Degree: 2011, Universidade do Rio Grande do Norte

URL: http://repositorio.ufrn.br/handle/123456789/14500

► The present dissertation analyses Leonhard Euler´s early mathematical work as *Diophantine* *Equations*, De solutione problematum diophanteorum per números íntegros (On the solution of *Diophantine* problems…
(more)

Subjects/Keywords: História da teoria dos números; Equações diofantinas; Leonhard Euler; History of number theory; Diophantine equations; Leonhard Euler

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Dantas, J. d. A. (2011). De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas . (Masters Thesis). Universidade do Rio Grande do Norte. Retrieved from http://repositorio.ufrn.br/handle/123456789/14500

Chicago Manual of Style (16^{th} Edition):

Dantas, Joice de Andrade. “De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas .” 2011. Masters Thesis, Universidade do Rio Grande do Norte. Accessed August 26, 2019. http://repositorio.ufrn.br/handle/123456789/14500.

MLA Handbook (7^{th} Edition):

Dantas, Joice de Andrade. “De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas .” 2011. Web. 26 Aug 2019.

Vancouver:

Dantas JdA. De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas . [Internet] [Masters thesis]. Universidade do Rio Grande do Norte; 2011. [cited 2019 Aug 26]. Available from: http://repositorio.ufrn.br/handle/123456789/14500.

Council of Science Editors:

Dantas JdA. De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas . [Masters Thesis]. Universidade do Rio Grande do Norte; 2011. Available from: http://repositorio.ufrn.br/handle/123456789/14500

Universidade do Rio Grande do Norte

19. Dantas, Joice de Andrade. De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas .

Degree: 2011, Universidade do Rio Grande do Norte

URL: http://repositorio.ufrn.br/handle/123456789/14500

► The present dissertation analyses Leonhard Euler´s early mathematical work as *Diophantine* *Equations*, De solutione problematum diophanteorum per números íntegros (On the solution of *Diophantine* problems…
(more)

Subjects/Keywords: História da teoria dos números; Equações diofantinas; Leonhard Euler; History of number theory; Diophantine equations; Leonhard Euler

Record Details Similar Records

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Dantas, J. d. A. (2011). De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas . (Thesis). Universidade do Rio Grande do Norte. Retrieved from http://repositorio.ufrn.br/handle/123456789/14500

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Dantas, Joice de Andrade. “De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas .” 2011. Thesis, Universidade do Rio Grande do Norte. Accessed August 26, 2019. http://repositorio.ufrn.br/handle/123456789/14500.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Dantas, Joice de Andrade. “De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas .” 2011. Web. 26 Aug 2019.

Vancouver:

Dantas JdA. De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas . [Internet] [Thesis]. Universidade do Rio Grande do Norte; 2011. [cited 2019 Aug 26]. Available from: http://repositorio.ufrn.br/handle/123456789/14500.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dantas JdA. De solutione problematum diophanteorum per números integros : o primeiro trabalho de Euler sobre equações diofantinas . [Thesis]. Universidade do Rio Grande do Norte; 2011. Available from: http://repositorio.ufrn.br/handle/123456789/14500

Not specified: Masters Thesis or Doctoral Dissertation

Universidade do Rio Grande do Sul

20. Capilheira, Bianca Herreira. Equações diofantinas lineares : uma proposta para o Ensino Médio.

Degree: 2012, Universidade do Rio Grande do Sul

URL: http://hdl.handle.net/10183/62118

►

Este trabalho, cuja metodologia foi inspirada na Engenharia Didática, discute e investiga a viabilidade de inserir o ensino/estudo das equações diofantinas lineares no ensino médio.… (more)

Subjects/Keywords: Mathematics teaching; Ensino-aprendizagem; Ensino de matematica; Linear diophantine equations; Engenharia didática; High school curriculum; Ensino médio; Didactic engineering

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Capilheira, B. H. (2012). Equações diofantinas lineares : uma proposta para o Ensino Médio. (Thesis). Universidade do Rio Grande do Sul. Retrieved from http://hdl.handle.net/10183/62118

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Capilheira, Bianca Herreira. “Equações diofantinas lineares : uma proposta para o Ensino Médio.” 2012. Thesis, Universidade do Rio Grande do Sul. Accessed August 26, 2019. http://hdl.handle.net/10183/62118.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Capilheira, Bianca Herreira. “Equações diofantinas lineares : uma proposta para o Ensino Médio.” 2012. Web. 26 Aug 2019.

Vancouver:

Capilheira BH. Equações diofantinas lineares : uma proposta para o Ensino Médio. [Internet] [Thesis]. Universidade do Rio Grande do Sul; 2012. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/10183/62118.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Capilheira BH. Equações diofantinas lineares : uma proposta para o Ensino Médio. [Thesis]. Universidade do Rio Grande do Sul; 2012. Available from: http://hdl.handle.net/10183/62118

Not specified: Masters Thesis or Doctoral Dissertation

21. Sadeq, Joseph G. Points at Rational Distance from the Vertices of a Square .

Degree: 2015, George Mason University

URL: http://hdl.handle.net/1920/9760

► Guy asks if there exists a point in the plane at rational distance to the corners of the unit square. Also known as the four-distance…
(more)

Subjects/Keywords: rational distance; diophantine equations; square; number theory

…2ui r cos θ +
3
u2i + r2 sin2 θ − 2vi r sin θ + vi2 = d2i determines the *equations*
r2… …r2 − n2 )2
With *equations* (2.3) and (2.4) into (2.2)… …integer, condition (2.6) is required; this arises from incorporating *equations*… …factor of n, a, b, c, r in *equations* (2.5) and (2.6); by translation, we…

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Sadeq, J. G. (2015). Points at Rational Distance from the Vertices of a Square . (Thesis). George Mason University. Retrieved from http://hdl.handle.net/1920/9760

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Sadeq, Joseph G. “Points at Rational Distance from the Vertices of a Square .” 2015. Thesis, George Mason University. Accessed August 26, 2019. http://hdl.handle.net/1920/9760.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Sadeq, Joseph G. “Points at Rational Distance from the Vertices of a Square .” 2015. Web. 26 Aug 2019.

Vancouver:

Sadeq JG. Points at Rational Distance from the Vertices of a Square . [Internet] [Thesis]. George Mason University; 2015. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/1920/9760.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sadeq JG. Points at Rational Distance from the Vertices of a Square . [Thesis]. George Mason University; 2015. Available from: http://hdl.handle.net/1920/9760

Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

22. Allen, Patrick. Multiplicities of Linear Recurrence Sequences.

Degree: 2006, University of Waterloo

URL: http://hdl.handle.net/10012/2942

► In this report we give an overview of some of the major results concerning the multiplicities of linear recurrence sequences. We first investigate binary recurrence…
(more)

Subjects/Keywords: Mathematics; linear recurrence; diophantine equations; number theory

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Allen, P. (2006). Multiplicities of Linear Recurrence Sequences. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/2942

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Allen, Patrick. “Multiplicities of Linear Recurrence Sequences.” 2006. Thesis, University of Waterloo. Accessed August 26, 2019. http://hdl.handle.net/10012/2942.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Allen, Patrick. “Multiplicities of Linear Recurrence Sequences.” 2006. Web. 26 Aug 2019.

Vancouver:

Allen P. Multiplicities of Linear Recurrence Sequences. [Internet] [Thesis]. University of Waterloo; 2006. [cited 2019 Aug 26]. Available from: http://hdl.handle.net/10012/2942.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Allen P. Multiplicities of Linear Recurrence Sequences. [Thesis]. University of Waterloo; 2006. Available from: http://hdl.handle.net/10012/2942

Not specified: Masters Thesis or Doctoral Dissertation

University of South Carolina

23. Vincent, Andrew Fletcher. Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials.

Degree: PhD, Mathematics, 2012, University of South Carolina

URL: https://scholarcommons.sc.edu/etd/1614

► Let f(x) be a polynomial with integer coefficients. If either f(x) = xdegff(1/x) or f(x) = -xdegff(1/x), then f(x) is called reciprocal. We refer…
(more)

Subjects/Keywords: Mathematics; Physical Sciences and Mathematics; Baker's Theorem; Computational Number Theory; Exponential Diophantine Equations; Number Theory; p-Adic Analysis; Polynomials

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Vincent, A. F. (2012). Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials. (Doctoral Dissertation). University of South Carolina. Retrieved from https://scholarcommons.sc.edu/etd/1614

Chicago Manual of Style (16^{th} Edition):

Vincent, Andrew Fletcher. “Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials.” 2012. Doctoral Dissertation, University of South Carolina. Accessed August 26, 2019. https://scholarcommons.sc.edu/etd/1614.

MLA Handbook (7^{th} Edition):

Vincent, Andrew Fletcher. “Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials.” 2012. Web. 26 Aug 2019.

Vancouver:

Vincent AF. Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials. [Internet] [Doctoral dissertation]. University of South Carolina; 2012. [cited 2019 Aug 26]. Available from: https://scholarcommons.sc.edu/etd/1614.

Council of Science Editors:

Vincent AF. Classifying Polynomials With Reducible Nonreciprocal Parts and the Factorization of Values of Polynomials. [Doctoral Dissertation]. University of South Carolina; 2012. Available from: https://scholarcommons.sc.edu/etd/1614

University of Cincinnati

24.
Ren, Ai.
Embedded Surface Attack on Multivariate Public Key
Cryptosystems from *Diophantine* Equation.

Degree: PhD, Arts and Sciences: Mathematical Sciences, 2019, University of Cincinnati

URL: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1558364211159262

► In 2011, Gao and Heindl proposed a family of Multivariate Public Key Cryptosystems by combining the triangular scheme and the oil-vinegar scheme. The new design…
(more)

Subjects/Keywords: Mathematics; Multivariate Public Key Cryptosystem; Cryptosystem; Diophantine equations; embedded surface attach; linearization type of equation; cryptography

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Ren, A. (2019). Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equation. (Doctoral Dissertation). University of Cincinnati. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=ucin1558364211159262

Chicago Manual of Style (16^{th} Edition):

Ren, Ai. “Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equation.” 2019. Doctoral Dissertation, University of Cincinnati. Accessed August 26, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1558364211159262.

MLA Handbook (7^{th} Edition):

Ren, Ai. “Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equation.” 2019. Web. 26 Aug 2019.

Vancouver:

Ren A. Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equation. [Internet] [Doctoral dissertation]. University of Cincinnati; 2019. [cited 2019 Aug 26]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1558364211159262.

Council of Science Editors:

Ren A. Embedded Surface Attack on Multivariate Public Key Cryptosystems from Diophantine Equation. [Doctoral Dissertation]. University of Cincinnati; 2019. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=ucin1558364211159262

University of South Florida

25. Burns, Jonathan. Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability.

Degree: 2014, University of South Florida

URL: https://scholarcommons.usf.edu/etd/5193

► Recursion is a fundamental tool of mathematics used to define, construct, and analyze mathematical objects. This work employs induction, sieving, inversion, and other recursive methods…
(more)

Subjects/Keywords: Braid Index; Complete Monotonicity; Double Occurrence Words; Prime-Producing Polynomials; Quadratic Diophantine Equations; Ratios of Successive Moments; Mathematics

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Burns, J. (2014). Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability. (Thesis). University of South Florida. Retrieved from https://scholarcommons.usf.edu/etd/5193

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Burns, Jonathan. “Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability.” 2014. Thesis, University of South Florida. Accessed August 26, 2019. https://scholarcommons.usf.edu/etd/5193.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Burns, Jonathan. “Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability.” 2014. Web. 26 Aug 2019.

Vancouver:

Burns J. Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability. [Internet] [Thesis]. University of South Florida; 2014. [cited 2019 Aug 26]. Available from: https://scholarcommons.usf.edu/etd/5193.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Burns J. Recursive Methods in Number Theory, Combinatorial Graph Theory, and Probability. [Thesis]. University of South Florida; 2014. Available from: https://scholarcommons.usf.edu/etd/5193

Not specified: Masters Thesis or Doctoral Dissertation

26.
Bartolomé, Boris.
*Diophantine**equations* and cyclotomic fields : *Equations* diophantiennes et corps cyclotomiques.

Degree: Docteur es, Mathématiques pures, 2015, Bordeaux; Bordeaux; Georg-August-Universität (Göttingen, Allemagne)

URL: http://www.theses.fr/2015BORD0104

► Cette thèse examine quelques approches aux équations diophantiennes, en particulier les connexions entre l’analyse diophantienne et la théorie des corps cyclotomiques.Tout d’abord, nous proposons une…
(more)

Subjects/Keywords: Equations diophantiennes; Corps cyclotomiques; Équations de Nagell-Ljunggren; Skolem; Abouzaid; Équations diophantiennes exponentielles; Inégalité de Baker; Théorème du sous-espace; Diophantine equations; Cyclotomic fields; Nagell-Ljunggren equation; Skolem; Abouzaid; Exponential Diophantine Equation; Baker’s Inequality; Subspace Theorem

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Bartolomé, B. (2015). Diophantine equations and cyclotomic fields : Equations diophantiennes et corps cyclotomiques. (Doctoral Dissertation). Bordeaux; Bordeaux; Georg-August-Universität (Göttingen, Allemagne). Retrieved from http://www.theses.fr/2015BORD0104

Chicago Manual of Style (16^{th} Edition):

Bartolomé, Boris. “Diophantine equations and cyclotomic fields : Equations diophantiennes et corps cyclotomiques.” 2015. Doctoral Dissertation, Bordeaux; Bordeaux; Georg-August-Universität (Göttingen, Allemagne). Accessed August 26, 2019. http://www.theses.fr/2015BORD0104.

MLA Handbook (7^{th} Edition):

Bartolomé, Boris. “Diophantine equations and cyclotomic fields : Equations diophantiennes et corps cyclotomiques.” 2015. Web. 26 Aug 2019.

Vancouver:

Bartolomé B. Diophantine equations and cyclotomic fields : Equations diophantiennes et corps cyclotomiques. [Internet] [Doctoral dissertation]. Bordeaux; Bordeaux; Georg-August-Universität (Göttingen, Allemagne); 2015. [cited 2019 Aug 26]. Available from: http://www.theses.fr/2015BORD0104.

Council of Science Editors:

Bartolomé B. Diophantine equations and cyclotomic fields : Equations diophantiennes et corps cyclotomiques. [Doctoral Dissertation]. Bordeaux; Bordeaux; Georg-August-Universität (Göttingen, Allemagne); 2015. Available from: http://www.theses.fr/2015BORD0104

27. NatÃlia Medeiros do Nascimento. EquaÃÃes diofantinas e o mÃtodo das secantes e tangentes de Fermat.

Degree: Master, 2014, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=12409 ;

►

Ao longo das Ãltimas dÃcadas, a transmissÃo do conhecimento matemÃtico na EducaÃÃo BÃsica sofreu diversas mudanÃas. âO Ensino Tradicionalâ da matemÃtica era baseado na memorizaÃÃo… (more)

Subjects/Keywords: MATEMATICA; equaÃÃes diofantinas lineares; ternas pitagÃricas; mÃtodo das secantes; tangentes de Fermat; linear diophantine equations; pythagorean tender; method of secants; tangents of Fermat; EquaÃÃes diofantinas; Fermat, Ãltimo teorema de; Diophantine equations

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Nascimento, N. M. d. (2014). EquaÃÃes diofantinas e o mÃtodo das secantes e tangentes de Fermat. (Masters Thesis). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=12409 ;

Chicago Manual of Style (16^{th} Edition):

Nascimento, NatÃlia Medeiros do. “EquaÃÃes diofantinas e o mÃtodo das secantes e tangentes de Fermat.” 2014. Masters Thesis, Universidade Federal do Ceará. Accessed August 26, 2019. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=12409 ;.

MLA Handbook (7^{th} Edition):

Nascimento, NatÃlia Medeiros do. “EquaÃÃes diofantinas e o mÃtodo das secantes e tangentes de Fermat.” 2014. Web. 26 Aug 2019.

Vancouver:

Nascimento NMd. EquaÃÃes diofantinas e o mÃtodo das secantes e tangentes de Fermat. [Internet] [Masters thesis]. Universidade Federal do Ceará 2014. [cited 2019 Aug 26]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=12409 ;.

Council of Science Editors:

Nascimento NMd. EquaÃÃes diofantinas e o mÃtodo das secantes e tangentes de Fermat. [Masters Thesis]. Universidade Federal do Ceará 2014. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=12409 ;

University of Florida

28.
Muwafi, Amin Abdul K., 1923-.
On pairs of *diophantine* * equations*.

Degree: 1959, University of Florida

URL: http://ufdc.ufl.edu/AA00034972

Subjects/Keywords: Determinants; Diophantine equation; Diophantine sets; Graduates; Integers; Mathematical congruence; Mathematical theorems; Mathematics; Number theory; Simultaneous equations; Diophantine analysis; Mathematics thesis Ph. D

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Muwafi, Amin Abdul K., 1. (1959). On pairs of diophantine equations. (Thesis). University of Florida. Retrieved from http://ufdc.ufl.edu/AA00034972

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Muwafi, Amin Abdul K., 1923-. “On pairs of diophantine equations.” 1959. Thesis, University of Florida. Accessed August 26, 2019. http://ufdc.ufl.edu/AA00034972.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Muwafi, Amin Abdul K., 1923-. “On pairs of diophantine equations.” 1959. Web. 26 Aug 2019.

Vancouver:

Muwafi, Amin Abdul K. 1. On pairs of diophantine equations. [Internet] [Thesis]. University of Florida; 1959. [cited 2019 Aug 26]. Available from: http://ufdc.ufl.edu/AA00034972.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Muwafi, Amin Abdul K. 1. On pairs of diophantine equations. [Thesis]. University of Florida; 1959. Available from: http://ufdc.ufl.edu/AA00034972

Not specified: Masters Thesis or Doctoral Dissertation

29.
Huang, Jingjing.
Analytic methods for *Diophantine* problems.

Degree: PhD, Mathematics, 2012, Penn State University

URL: https://etda.libraries.psu.edu/catalog/15198

► In this dissertation, we are mainly concerned with the *Diophantine* equation \frac{a}{n}=\frac1{x_{1}}+\frac1{x_{2}}+∙s+\frac1{x_{k}} and its number of positive integer solutions R_{k}(n;a). We begin with the binary…
(more)

Subjects/Keywords: unit fractions; Egyptian fractions; Diophantine equations; analytic methods

…to study integral solutions to *Diophantine*
*equations*. In this thesis, we are primarily… …character χ
Rk (n; a) the number of solutions to the *Diophantine* equation (1.1)… …*Diophantine* problems of this kind for the first time, whilst the previous two
authors use only small… …result for the *Diophantine* equation axy − x − y = n where a is fixed and n
varies. See Chapter… …Fractions I
2.1
Introduction
The solubility of the *Diophantine* equation
1
1
1
a
=
+
+ ··· + ,
n…

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Huang, J. (2012). Analytic methods for Diophantine problems. (Doctoral Dissertation). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/15198

Chicago Manual of Style (16^{th} Edition):

Huang, Jingjing. “Analytic methods for Diophantine problems.” 2012. Doctoral Dissertation, Penn State University. Accessed August 26, 2019. https://etda.libraries.psu.edu/catalog/15198.

MLA Handbook (7^{th} Edition):

Huang, Jingjing. “Analytic methods for Diophantine problems.” 2012. Web. 26 Aug 2019.

Vancouver:

Huang J. Analytic methods for Diophantine problems. [Internet] [Doctoral dissertation]. Penn State University; 2012. [cited 2019 Aug 26]. Available from: https://etda.libraries.psu.edu/catalog/15198.

Council of Science Editors:

Huang J. Analytic methods for Diophantine problems. [Doctoral Dissertation]. Penn State University; 2012. Available from: https://etda.libraries.psu.edu/catalog/15198

30. Carlos Wagner Almeida Freitas. EquaÃÃes diofantinas.

Degree: Master, 2015, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14655 ;

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O atual trabalho tem como objetivo principal estruturar estudantes, professores e amantes da matemÃtica para a melhor compreensÃo, interpretaÃÃo e resoluÃÃo de problemas que venham… (more)

Subjects/Keywords: MATEMATICA; referencial histÃrico; divisÃo euclidiana; inequaÃÃes; historical reference; Euclidean division; inequalities; EquaÃÃes diofantinas; Teoria dos nÃmeros; mÃximo divisor comum; Diophantine equations; Number theory; maximum common divider

Record Details Similar Records

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^{th} Edition):

Freitas, C. W. A. (2015). EquaÃÃes diofantinas. (Masters Thesis). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14655 ;

Chicago Manual of Style (16^{th} Edition):

Freitas, Carlos Wagner Almeida. “EquaÃÃes diofantinas.” 2015. Masters Thesis, Universidade Federal do Ceará. Accessed August 26, 2019. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14655 ;.

MLA Handbook (7^{th} Edition):

Freitas, Carlos Wagner Almeida. “EquaÃÃes diofantinas.” 2015. Web. 26 Aug 2019.

Vancouver:

Freitas CWA. EquaÃÃes diofantinas. [Internet] [Masters thesis]. Universidade Federal do Ceará 2015. [cited 2019 Aug 26]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14655 ;.

Council of Science Editors:

Freitas CWA. EquaÃÃes diofantinas. [Masters Thesis]. Universidade Federal do Ceará 2015. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=14655 ;