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1.
Sprung, Florian.
The Arithmetic of *Elliptic* *Curves* in Towers of Number
Fields.

Degree: PhD, Mathematics, 2013, Brown University

URL: https://repository.library.brown.edu/studio/item/bdr:320539/

► The first part of this thesis concerns the growth of the Shafarevich-Tate group in cyclotomic Z_{p-extensions}, where we give a formula for its p-primary part…
(more)

Subjects/Keywords: elliptic curves

Record Details Similar Records

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

APA (6^{th} Edition):

Sprung, F. (2013). The Arithmetic of Elliptic Curves in Towers of Number Fields. (Doctoral Dissertation). Brown University. Retrieved from https://repository.library.brown.edu/studio/item/bdr:320539/

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

Sprung, Florian. “The Arithmetic of Elliptic Curves in Towers of Number Fields.” 2013. Doctoral Dissertation, Brown University. Accessed January 24, 2021. https://repository.library.brown.edu/studio/item/bdr:320539/.

MLA Handbook (7^{th} Edition):

Sprung, Florian. “The Arithmetic of Elliptic Curves in Towers of Number Fields.” 2013. Web. 24 Jan 2021.

Vancouver:

Sprung F. The Arithmetic of Elliptic Curves in Towers of Number Fields. [Internet] [Doctoral dissertation]. Brown University; 2013. [cited 2021 Jan 24]. Available from: https://repository.library.brown.edu/studio/item/bdr:320539/.

Council of Science Editors:

Sprung F. The Arithmetic of Elliptic Curves in Towers of Number Fields. [Doctoral Dissertation]. Brown University; 2013. Available from: https://repository.library.brown.edu/studio/item/bdr:320539/

University of Georgia

2.
Shumbusho, Rene-Michel.
*Elliptic**curves* with prime conductor and a conjecture of cremona.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/21983

► We find the *elliptic* *curves* defined over imaginary quadratic number fields K with class number one that have prime conductor and a K-rational 2-torsion point.…
(more)

Subjects/Keywords: Elliptic curves; conductor

Record Details Similar Records

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APA (6^{th} Edition):

Shumbusho, R. (2014). Elliptic curves with prime conductor and a conjecture of cremona. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/21983

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):

Shumbusho, Rene-Michel. “Elliptic curves with prime conductor and a conjecture of cremona.” 2014. Thesis, University of Georgia. Accessed January 24, 2021. http://hdl.handle.net/10724/21983.

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

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Shumbusho, Rene-Michel. “Elliptic curves with prime conductor and a conjecture of cremona.” 2014. Web. 24 Jan 2021.

Vancouver:

Shumbusho R. Elliptic curves with prime conductor and a conjecture of cremona. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10724/21983.

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

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Shumbusho R. Elliptic curves with prime conductor and a conjecture of cremona. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/21983

Not specified: Masters Thesis or Doctoral Dissertation

Wake Forest University

3. Patsolic, Jesse Leigh. Trinomials Defining Quintic Number Fields.

Degree: 2014, Wake Forest University

URL: http://hdl.handle.net/10339/47445

Given a number field K, how does one find polynomials f(x)

Subjects/Keywords: Elliptic Curves

Record Details Similar Records

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

APA (6^{th} Edition):

Patsolic, J. L. (2014). Trinomials Defining Quintic Number Fields. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/47445

Not specified: Masters Thesis or Doctoral Dissertation

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

Patsolic, Jesse Leigh. “Trinomials Defining Quintic Number Fields.” 2014. Thesis, Wake Forest University. Accessed January 24, 2021. http://hdl.handle.net/10339/47445.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Patsolic, Jesse Leigh. “Trinomials Defining Quintic Number Fields.” 2014. Web. 24 Jan 2021.

Vancouver:

Patsolic JL. Trinomials Defining Quintic Number Fields. [Internet] [Thesis]. Wake Forest University; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10339/47445.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Patsolic JL. Trinomials Defining Quintic Number Fields. [Thesis]. Wake Forest University; 2014. Available from: http://hdl.handle.net/10339/47445

Not specified: Masters Thesis or Doctoral Dissertation

Florida Atlantic University

4.
Hutchinson, Aaron.
Algorithms in *Elliptic* Curve Cryptography.

Degree: 2018, Florida Atlantic University

URL: http://fau.digital.flvc.org/islandora/object/fau:40929

►

*Elliptic* *curves* have played a large role in modern cryptography. Most notably, the *Elliptic* Curve Digital Signature Algorithm (ECDSA) and the *Elliptic* Curve Di e-Hellman…
(more)

Subjects/Keywords: Curves, Elliptic; Cryptography; Algorithms

Record Details Similar Records

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APA (6^{th} Edition):

Hutchinson, A. (2018). Algorithms in Elliptic Curve Cryptography. (Thesis). Florida Atlantic University. Retrieved from http://fau.digital.flvc.org/islandora/object/fau:40929

Not specified: Masters Thesis or Doctoral Dissertation

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

Hutchinson, Aaron. “Algorithms in Elliptic Curve Cryptography.” 2018. Thesis, Florida Atlantic University. Accessed January 24, 2021. http://fau.digital.flvc.org/islandora/object/fau:40929.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Hutchinson, Aaron. “Algorithms in Elliptic Curve Cryptography.” 2018. Web. 24 Jan 2021.

Vancouver:

Hutchinson A. Algorithms in Elliptic Curve Cryptography. [Internet] [Thesis]. Florida Atlantic University; 2018. [cited 2021 Jan 24]. Available from: http://fau.digital.flvc.org/islandora/object/fau:40929.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hutchinson A. Algorithms in Elliptic Curve Cryptography. [Thesis]. Florida Atlantic University; 2018. Available from: http://fau.digital.flvc.org/islandora/object/fau:40929

Not specified: Masters Thesis or Doctoral Dissertation

5.
Gauthier-Shalom, Gabriel.
Combinatorial Arithmetic on *Elliptic* * Curves*.

Degree: 2017, University of Waterloo

URL: http://hdl.handle.net/10012/12469

► We propose a scalar multiplication technique on an *elliptic* curve, which operates on triples of collinear points. The computation of this operation requires a new…
(more)

Subjects/Keywords: Mathematics; Cryptography; Elliptic Curves

Record Details Similar Records

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

APA (6^{th} Edition):

Gauthier-Shalom, G. (2017). Combinatorial Arithmetic on Elliptic Curves. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/12469

Not specified: Masters Thesis or Doctoral Dissertation

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

Gauthier-Shalom, Gabriel. “Combinatorial Arithmetic on Elliptic Curves.” 2017. Thesis, University of Waterloo. Accessed January 24, 2021. http://hdl.handle.net/10012/12469.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Gauthier-Shalom, Gabriel. “Combinatorial Arithmetic on Elliptic Curves.” 2017. Web. 24 Jan 2021.

Vancouver:

Gauthier-Shalom G. Combinatorial Arithmetic on Elliptic Curves. [Internet] [Thesis]. University of Waterloo; 2017. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10012/12469.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gauthier-Shalom G. Combinatorial Arithmetic on Elliptic Curves. [Thesis]. University of Waterloo; 2017. Available from: http://hdl.handle.net/10012/12469

Not specified: Masters Thesis or Doctoral Dissertation

University of Maryland

6.
Goldman, Michael Ross.
Fast Hashing in *Elliptic* and Hyperelliptic * Curves*.

Degree: Mathematics, 2011, University of Maryland

URL: http://hdl.handle.net/1903/11873

► The BLS Digital Signature Algorithm is a cryptographic scheme using *elliptic* *curves* over finite fields. In the BLS Digital Signature Algorithm, we require a function…
(more)

Subjects/Keywords: Mathematics; Cryptography; Elliptic Curves; Hashing

Record Details Similar Records

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APA (6^{th} Edition):

Goldman, M. R. (2011). Fast Hashing in Elliptic and Hyperelliptic Curves. (Thesis). University of Maryland. Retrieved from http://hdl.handle.net/1903/11873

Not specified: Masters Thesis or Doctoral Dissertation

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

Goldman, Michael Ross. “Fast Hashing in Elliptic and Hyperelliptic Curves.” 2011. Thesis, University of Maryland. Accessed January 24, 2021. http://hdl.handle.net/1903/11873.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Goldman, Michael Ross. “Fast Hashing in Elliptic and Hyperelliptic Curves.” 2011. Web. 24 Jan 2021.

Vancouver:

Goldman MR. Fast Hashing in Elliptic and Hyperelliptic Curves. [Internet] [Thesis]. University of Maryland; 2011. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1903/11873.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Goldman MR. Fast Hashing in Elliptic and Hyperelliptic Curves. [Thesis]. University of Maryland; 2011. Available from: http://hdl.handle.net/1903/11873

Not specified: Masters Thesis or Doctoral Dissertation

University of Georgia

7.
Hower, Jeremiah.
On *elliptic* *curves* and arithmetical graphs.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/25489

► Brumer and Kramer give sufficient criteria to conclude for a given prime p the non-existence of an *elliptic* curve E/ℚ of conductor p. Some of…
(more)

Subjects/Keywords: elliptic curves; arithmical graphs

Record Details Similar Records

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

APA (6^{th} Edition):

Hower, J. (2014). On elliptic curves and arithmetical graphs. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/25489

Not specified: Masters Thesis or Doctoral Dissertation

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

Hower, Jeremiah. “On elliptic curves and arithmetical graphs.” 2014. Thesis, University of Georgia. Accessed January 24, 2021. http://hdl.handle.net/10724/25489.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Hower, Jeremiah. “On elliptic curves and arithmetical graphs.” 2014. Web. 24 Jan 2021.

Vancouver:

Hower J. On elliptic curves and arithmetical graphs. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10724/25489.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Hower J. On elliptic curves and arithmetical graphs. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/25489

Not specified: Masters Thesis or Doctoral Dissertation

University of Southern California

8.
Wang, Jian.
On the torsion structure of *elliptic* *curves* over cubic
number fields.

Degree: PhD, Mathematics, 2015, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/582480/rec/4555

► Let E be an *elliptic* curve defined over a number field K. Then its Mordell-Weil group E(K) is finitely generated: E(K)≅ E(K)tor × ℤʳ. In…
(more)

Subjects/Keywords: elliptic curves; modular curves; torsion; cubic fields

Record Details Similar Records

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APA (6^{th} Edition):

Wang, J. (2015). On the torsion structure of elliptic curves over cubic number fields. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/582480/rec/4555

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

Wang, Jian. “On the torsion structure of elliptic curves over cubic number fields.” 2015. Doctoral Dissertation, University of Southern California. Accessed January 24, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/582480/rec/4555.

MLA Handbook (7^{th} Edition):

Wang, Jian. “On the torsion structure of elliptic curves over cubic number fields.” 2015. Web. 24 Jan 2021.

Vancouver:

Wang J. On the torsion structure of elliptic curves over cubic number fields. [Internet] [Doctoral dissertation]. University of Southern California; 2015. [cited 2021 Jan 24]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/582480/rec/4555.

Council of Science Editors:

Wang J. On the torsion structure of elliptic curves over cubic number fields. [Doctoral Dissertation]. University of Southern California; 2015. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/582480/rec/4555

University of Southern California

9. Newman, Burton. Growth of torsion in quadratic extensions of quadratic cyclotomic fields.

Degree: PhD, Mathematics, 2015, University of Southern California

URL: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/546672/rec/3110

► Let K = ℚ(√(-3)) or ℚ(√(-1)) and let C_n denote the cyclic group of order n. We study how the torsion part of an *elliptic*…
(more)

Subjects/Keywords: elliptic curves; modular curves; computational 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):

Newman, B. (2015). Growth of torsion in quadratic extensions of quadratic cyclotomic fields. (Doctoral Dissertation). University of Southern California. Retrieved from http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/546672/rec/3110

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

Newman, Burton. “Growth of torsion in quadratic extensions of quadratic cyclotomic fields.” 2015. Doctoral Dissertation, University of Southern California. Accessed January 24, 2021. http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/546672/rec/3110.

MLA Handbook (7^{th} Edition):

Newman, Burton. “Growth of torsion in quadratic extensions of quadratic cyclotomic fields.” 2015. Web. 24 Jan 2021.

Vancouver:

Newman B. Growth of torsion in quadratic extensions of quadratic cyclotomic fields. [Internet] [Doctoral dissertation]. University of Southern California; 2015. [cited 2021 Jan 24]. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/546672/rec/3110.

Council of Science Editors:

Newman B. Growth of torsion in quadratic extensions of quadratic cyclotomic fields. [Doctoral Dissertation]. University of Southern California; 2015. Available from: http://digitallibrary.usc.edu/cdm/compoundobject/collection/p15799coll3/id/546672/rec/3110

Linnaeus University

10.
Idrees, Zunera.
*Elliptic**Curves* Cryptography.

Degree: Physics and Mathematics, 2012, Linnaeus University

URL: http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-17544

► In the thesis we study the *elliptic* *curves* and its use in cryptography. *Elliptic* curvesencompasses a vast area of mathematics. *Elliptic* *curves* have basics…
(more)

Subjects/Keywords: Group Theory and Number Theory; Elliptic Curves; Elliptic Curves over Finite Fields; Applications of Elliptic Curves.; Mathematics; Matematik

Record Details Similar Records

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

APA (6^{th} Edition):

Idrees, Z. (2012). Elliptic Curves Cryptography. (Thesis). Linnaeus University. Retrieved from http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-17544

Not specified: Masters Thesis or Doctoral Dissertation

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

Idrees, Zunera. “Elliptic Curves Cryptography.” 2012. Thesis, Linnaeus University. Accessed January 24, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-17544.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Idrees, Zunera. “Elliptic Curves Cryptography.” 2012. Web. 24 Jan 2021.

Vancouver:

Idrees Z. Elliptic Curves Cryptography. [Internet] [Thesis]. Linnaeus University; 2012. [cited 2021 Jan 24]. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-17544.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Idrees Z. Elliptic Curves Cryptography. [Thesis]. Linnaeus University; 2012. Available from: http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-17544

Not specified: Masters Thesis or Doctoral Dissertation

11. Jones, Marvin. Solutions of the Cubic Fermat Equation in Quadratic Fields.

Degree: 2012, Wake Forest University

URL: http://hdl.handle.net/10339/37265

► We will examine when there are nontrivial solutions to the equation x^{3} + y^{3} = z^{3} in ℚ(√{d}) for a squarefree integer d. In this…
(more)

Subjects/Keywords: elliptic curves

…method using
the theory of *elliptic* *curves* and modular forms. In addition, we will utilize a… …*elliptic* *curves*
and modular forms respectively.
Throughout Chapter 3 we will deal with the… …*elliptic* *curves* E : y 2 = x3 − 432 and
Ed : y 2 = x3 − 432d3 . In Section 3.2, we will build the… …following definition in Section 3.2: χn (m) =
2.2
n
m
.
*Elliptic* *Curves*
In this… …*curves* for this thesis. Our treatment of *elliptic* *curves* come from
[15], [21…

Record Details Similar Records

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

APA (6^{th} Edition):

Jones, M. (2012). Solutions of the Cubic Fermat Equation in Quadratic Fields. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/37265

Not specified: Masters Thesis or Doctoral Dissertation

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

Jones, Marvin. “Solutions of the Cubic Fermat Equation in Quadratic Fields.” 2012. Thesis, Wake Forest University. Accessed January 24, 2021. http://hdl.handle.net/10339/37265.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Jones, Marvin. “Solutions of the Cubic Fermat Equation in Quadratic Fields.” 2012. Web. 24 Jan 2021.

Vancouver:

Jones M. Solutions of the Cubic Fermat Equation in Quadratic Fields. [Internet] [Thesis]. Wake Forest University; 2012. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10339/37265.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Jones M. Solutions of the Cubic Fermat Equation in Quadratic Fields. [Thesis]. Wake Forest University; 2012. Available from: http://hdl.handle.net/10339/37265

Not specified: Masters Thesis or Doctoral Dissertation

12.
Wenberg, Samuel L.
*Elliptic**curves* and their cryptographic applications.

Degree: MS, Mathematics, 2013, Eastern Washington University

URL: https://dc.ewu.edu/theses/160

► "This thesis is a basic overview of *elliptic* *curves* and their applications to Cryptography. We begin with basic definitions and a demonstration that, given…
(more)

Subjects/Keywords: Curves; Elliptic; Cryptography; Physical Sciences and Mathematics

Record Details Similar Records

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APA (6^{th} Edition):

Wenberg, S. L. (2013). Elliptic curves and their cryptographic applications. (Thesis). Eastern Washington University. Retrieved from https://dc.ewu.edu/theses/160

Not specified: Masters Thesis or Doctoral Dissertation

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

Wenberg, Samuel L. “Elliptic curves and their cryptographic applications.” 2013. Thesis, Eastern Washington University. Accessed January 24, 2021. https://dc.ewu.edu/theses/160.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Wenberg, Samuel L. “Elliptic curves and their cryptographic applications.” 2013. Web. 24 Jan 2021.

Vancouver:

Wenberg SL. Elliptic curves and their cryptographic applications. [Internet] [Thesis]. Eastern Washington University; 2013. [cited 2021 Jan 24]. Available from: https://dc.ewu.edu/theses/160.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wenberg SL. Elliptic curves and their cryptographic applications. [Thesis]. Eastern Washington University; 2013. Available from: https://dc.ewu.edu/theses/160

Not specified: Masters Thesis or Doctoral Dissertation

University of Cambridge

13.
Lee, Chern-Yang.
Non-commutative Iwasawa theory of *elliptic* *curves* at primes of multiplicative reduction.

Degree: PhD, 2010, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/226462https://www.repository.cam.ac.uk/bitstream/1810/226462/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/5/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/3/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/6/cylThesis.pdf.jpg

► Let E be an *elliptic* curve defined over the rationals Q, and p be a prime at least 5 where E has multiplicative reduction. This…
(more)

Subjects/Keywords: Iwasawa theory; Parity conjecture; Elliptic curves

Record Details Similar Records

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APA (6^{th} Edition):

Lee, C. (2010). Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/226462https://www.repository.cam.ac.uk/bitstream/1810/226462/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/5/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/3/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/6/cylThesis.pdf.jpg

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

Lee, Chern-Yang. “Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction.” 2010. Doctoral Dissertation, University of Cambridge. Accessed January 24, 2021. http://www.dspace.cam.ac.uk/handle/1810/226462https://www.repository.cam.ac.uk/bitstream/1810/226462/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/5/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/3/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/6/cylThesis.pdf.jpg.

MLA Handbook (7^{th} Edition):

Lee, Chern-Yang. “Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction.” 2010. Web. 24 Jan 2021.

Vancouver:

Lee C. Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction. [Internet] [Doctoral dissertation]. University of Cambridge; 2010. [cited 2021 Jan 24]. Available from: http://www.dspace.cam.ac.uk/handle/1810/226462https://www.repository.cam.ac.uk/bitstream/1810/226462/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/5/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/3/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/6/cylThesis.pdf.jpg.

Council of Science Editors:

Lee C. Non-commutative Iwasawa theory of elliptic curves at primes of multiplicative reduction. [Doctoral Dissertation]. University of Cambridge; 2010. Available from: http://www.dspace.cam.ac.uk/handle/1810/226462https://www.repository.cam.ac.uk/bitstream/1810/226462/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/5/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/3/cylThesis.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/226462/6/cylThesis.pdf.jpg

Columbia University

14.
Pal, Vivek.
Simultaneous twists of *elliptic* *curves* and the Hasse principle for certain K3 surfaces.

Degree: 2016, Columbia University

URL: https://doi.org/10.7916/D81C1WVG

► In this thesis we unconditionally show that certain K3 surfaces satisfy the Hasse principle. Our method involves the 2-Selmer groups of simultaneous quadratic twists of…
(more)

Subjects/Keywords: Mathematics; Equations; Geometry, Differential; Curves, Elliptic

Record Details Similar Records

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APA (6^{th} Edition):

Pal, V. (2016). Simultaneous twists of elliptic curves and the Hasse principle for certain K3 surfaces. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D81C1WVG

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

Pal, Vivek. “Simultaneous twists of elliptic curves and the Hasse principle for certain K3 surfaces.” 2016. Doctoral Dissertation, Columbia University. Accessed January 24, 2021. https://doi.org/10.7916/D81C1WVG.

MLA Handbook (7^{th} Edition):

Pal, Vivek. “Simultaneous twists of elliptic curves and the Hasse principle for certain K3 surfaces.” 2016. Web. 24 Jan 2021.

Vancouver:

Pal V. Simultaneous twists of elliptic curves and the Hasse principle for certain K3 surfaces. [Internet] [Doctoral dissertation]. Columbia University; 2016. [cited 2021 Jan 24]. Available from: https://doi.org/10.7916/D81C1WVG.

Council of Science Editors:

Pal V. Simultaneous twists of elliptic curves and the Hasse principle for certain K3 surfaces. [Doctoral Dissertation]. Columbia University; 2016. Available from: https://doi.org/10.7916/D81C1WVG

Columbia University

15.
Cowan, Alexander.
Fourier expansions for Eisenstein series twisted by modular symbols and the distribution of multiples of real points on an *elliptic* curve.

Degree: 2019, Columbia University

URL: https://doi.org/10.7916/d8-76ah-m845

► This thesis consists of two unrelated parts. In the first part of this thesis, we give explicit expressions for the Fourier coefficients of Eisenstein series…
(more)

Subjects/Keywords: Mathematics; Diophantine approximation; Fourier series; Curves, Elliptic

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APA (6^{th} Edition):

Cowan, A. (2019). Fourier expansions for Eisenstein series twisted by modular symbols and the distribution of multiples of real points on an elliptic curve. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/d8-76ah-m845

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

Cowan, Alexander. “Fourier expansions for Eisenstein series twisted by modular symbols and the distribution of multiples of real points on an elliptic curve.” 2019. Doctoral Dissertation, Columbia University. Accessed January 24, 2021. https://doi.org/10.7916/d8-76ah-m845.

MLA Handbook (7^{th} Edition):

Cowan, Alexander. “Fourier expansions for Eisenstein series twisted by modular symbols and the distribution of multiples of real points on an elliptic curve.” 2019. Web. 24 Jan 2021.

Vancouver:

Cowan A. Fourier expansions for Eisenstein series twisted by modular symbols and the distribution of multiples of real points on an elliptic curve. [Internet] [Doctoral dissertation]. Columbia University; 2019. [cited 2021 Jan 24]. Available from: https://doi.org/10.7916/d8-76ah-m845.

Council of Science Editors:

Cowan A. Fourier expansions for Eisenstein series twisted by modular symbols and the distribution of multiples of real points on an elliptic curve. [Doctoral Dissertation]. Columbia University; 2019. Available from: https://doi.org/10.7916/d8-76ah-m845

University of Exeter

16. Bygott, Jeremy S. Modular forms and modular symbols over imaginary quadratic fields.

Degree: PhD, 1998, University of Exeter

URL: http://hdl.handle.net/10871/8322

Subjects/Keywords: 510; Elliptic curves

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APA (6^{th} Edition):

Bygott, J. S. (1998). Modular forms and modular symbols over imaginary quadratic fields. (Doctoral Dissertation). University of Exeter. Retrieved from http://hdl.handle.net/10871/8322

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

Bygott, Jeremy S. “Modular forms and modular symbols over imaginary quadratic fields.” 1998. Doctoral Dissertation, University of Exeter. Accessed January 24, 2021. http://hdl.handle.net/10871/8322.

MLA Handbook (7^{th} Edition):

Bygott, Jeremy S. “Modular forms and modular symbols over imaginary quadratic fields.” 1998. Web. 24 Jan 2021.

Vancouver:

Bygott JS. Modular forms and modular symbols over imaginary quadratic fields. [Internet] [Doctoral dissertation]. University of Exeter; 1998. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10871/8322.

Council of Science Editors:

Bygott JS. Modular forms and modular symbols over imaginary quadratic fields. [Doctoral Dissertation]. University of Exeter; 1998. Available from: http://hdl.handle.net/10871/8322

Université de Sherbrooke

17. Sofia, Lois. Seiberg-Witten Theory et Riemann Surfaces.

Degree: 2020, Université de Sherbrooke

URL: http://hdl.handle.net/11143/16459

► In this thesis we study Riemann surfaces with a view to understanding Seiberg Written theory. In their seminal work, Seiberg and Witten derived the low…
(more)

Subjects/Keywords: Seiberg-Witten; Riemann Surfaces; Supersymmetry; Elliptic curves

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APA (6^{th} Edition):

Sofia, L. (2020). Seiberg-Witten Theory et Riemann Surfaces. (Masters Thesis). Université de Sherbrooke. Retrieved from http://hdl.handle.net/11143/16459

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

Sofia, Lois. “Seiberg-Witten Theory et Riemann Surfaces.” 2020. Masters Thesis, Université de Sherbrooke. Accessed January 24, 2021. http://hdl.handle.net/11143/16459.

MLA Handbook (7^{th} Edition):

Sofia, Lois. “Seiberg-Witten Theory et Riemann Surfaces.” 2020. Web. 24 Jan 2021.

Vancouver:

Sofia L. Seiberg-Witten Theory et Riemann Surfaces. [Internet] [Masters thesis]. Université de Sherbrooke; 2020. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11143/16459.

Council of Science Editors:

Sofia L. Seiberg-Witten Theory et Riemann Surfaces. [Masters Thesis]. Université de Sherbrooke; 2020. Available from: http://hdl.handle.net/11143/16459

Michigan State University

18.
Ure, Charlotte.
Prime torsion in the Brauer group of an *elliptic* curve.

Degree: 2019, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:47941

►

Thesis Ph. D. Michigan State University. Mathematics 2019

The Brauer group is an invariant in algebraic geometry and number theory, that can be associated to… (more)

Subjects/Keywords: Torsion; Brauer groups; Curves, Elliptic; Mathematics

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APA (6^{th} Edition):

Ure, C. (2019). Prime torsion in the Brauer group of an elliptic curve. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:47941

Not specified: Masters Thesis or Doctoral Dissertation

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

Ure, Charlotte. “Prime torsion in the Brauer group of an elliptic curve.” 2019. Thesis, Michigan State University. Accessed January 24, 2021. http://etd.lib.msu.edu/islandora/object/etd:47941.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Ure, Charlotte. “Prime torsion in the Brauer group of an elliptic curve.” 2019. Web. 24 Jan 2021.

Vancouver:

Ure C. Prime torsion in the Brauer group of an elliptic curve. [Internet] [Thesis]. Michigan State University; 2019. [cited 2021 Jan 24]. Available from: http://etd.lib.msu.edu/islandora/object/etd:47941.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Ure C. Prime torsion in the Brauer group of an elliptic curve. [Thesis]. Michigan State University; 2019. Available from: http://etd.lib.msu.edu/islandora/object/etd:47941

Not specified: Masters Thesis or Doctoral Dissertation

University of Waterloo

19.
Yee, Randy.
On the effectiveness of isogeny walks for extending cover attacks on *elliptic* * curves*.

Degree: 2016, University of Waterloo

URL: http://hdl.handle.net/10012/10667

► Cryptographic systems based on the *elliptic* curve discrete logarithm problem (ECDLP) are widely deployed in the world today. In order for such a system to…
(more)

Subjects/Keywords: Elliptic Curves; Isogenies; Cryptography; Discrete Logarithms

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APA (6^{th} Edition):

Yee, R. (2016). On the effectiveness of isogeny walks for extending cover attacks on elliptic curves. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/10667

Not specified: Masters Thesis or Doctoral Dissertation

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

Yee, Randy. “On the effectiveness of isogeny walks for extending cover attacks on elliptic curves.” 2016. Thesis, University of Waterloo. Accessed January 24, 2021. http://hdl.handle.net/10012/10667.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Yee, Randy. “On the effectiveness of isogeny walks for extending cover attacks on elliptic curves.” 2016. Web. 24 Jan 2021.

Vancouver:

Yee R. On the effectiveness of isogeny walks for extending cover attacks on elliptic curves. [Internet] [Thesis]. University of Waterloo; 2016. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10012/10667.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yee R. On the effectiveness of isogeny walks for extending cover attacks on elliptic curves. [Thesis]. University of Waterloo; 2016. Available from: http://hdl.handle.net/10012/10667

Not specified: Masters Thesis or Doctoral Dissertation

University of Texas – Austin

20.
Hitt, Laura Michelle, 1979-.
Genus 2 *curves* in pairing-based cryptography and the minimal embedding field.

Degree: PhD, Mathematics, 2007, University of Texas – Austin

URL: http://hdl.handle.net/2152/3780

► A pairing-friendly hyperelliptic curve over a finite field Fq is one whose group of Fq-rational points of its Jacobian has size divisible by a large…
(more)

Subjects/Keywords: Cryptography; Curves, Elliptic

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APA (6^{th} Edition):

Hitt, Laura Michelle, 1. (2007). Genus 2 curves in pairing-based cryptography and the minimal embedding field. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://hdl.handle.net/2152/3780

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

Hitt, Laura Michelle, 1979-. “Genus 2 curves in pairing-based cryptography and the minimal embedding field.” 2007. Doctoral Dissertation, University of Texas – Austin. Accessed January 24, 2021. http://hdl.handle.net/2152/3780.

MLA Handbook (7^{th} Edition):

Hitt, Laura Michelle, 1979-. “Genus 2 curves in pairing-based cryptography and the minimal embedding field.” 2007. Web. 24 Jan 2021.

Vancouver:

Hitt, Laura Michelle 1. Genus 2 curves in pairing-based cryptography and the minimal embedding field. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2007. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/2152/3780.

Council of Science Editors:

Hitt, Laura Michelle 1. Genus 2 curves in pairing-based cryptography and the minimal embedding field. [Doctoral Dissertation]. University of Texas – Austin; 2007. Available from: http://hdl.handle.net/2152/3780

University of Oklahoma

21.
Roy, Manami.
*ELLIPTIC**CURVES* AND PARAMODULAR FORMS.

Degree: PhD, 2019, University of Oklahoma

URL: http://hdl.handle.net/11244/321046

► There is a lifting from a non-CM *elliptic* curve E/ℚ to a cuspidal paramodular newform f of degree 2 and weight 3 given by the…
(more)

Subjects/Keywords: elliptic curves; paramodular forms; symmetric cube lifting

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APA (6^{th} Edition):

Roy, M. (2019). ELLIPTIC CURVES AND PARAMODULAR FORMS. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/321046

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

Roy, Manami. “ELLIPTIC CURVES AND PARAMODULAR FORMS.” 2019. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/321046.

MLA Handbook (7^{th} Edition):

Roy, Manami. “ELLIPTIC CURVES AND PARAMODULAR FORMS.” 2019. Web. 24 Jan 2021.

Vancouver:

Roy M. ELLIPTIC CURVES AND PARAMODULAR FORMS. [Internet] [Doctoral dissertation]. University of Oklahoma; 2019. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/321046.

Council of Science Editors:

Roy M. ELLIPTIC CURVES AND PARAMODULAR FORMS. [Doctoral Dissertation]. University of Oklahoma; 2019. Available from: http://hdl.handle.net/11244/321046

University of Oklahoma

22.
Turki, Salam.
The representations of p-adic fields associated to *elliptic* * curves*.

Degree: PhD, 2015, University of Oklahoma

URL: http://hdl.handle.net/11244/15500

► The goal of this dissertation is to find the irreducible, admissible representation of GL(2; F) attached to an *elliptic* curve E over a p-adic field…
(more)

Subjects/Keywords: Elliptic curves; representation theorey; p-adic fields

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APA (6^{th} Edition):

Turki, S. (2015). The representations of p-adic fields associated to elliptic curves. (Doctoral Dissertation). University of Oklahoma. Retrieved from http://hdl.handle.net/11244/15500

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

Turki, Salam. “The representations of p-adic fields associated to elliptic curves.” 2015. Doctoral Dissertation, University of Oklahoma. Accessed January 24, 2021. http://hdl.handle.net/11244/15500.

MLA Handbook (7^{th} Edition):

Turki, Salam. “The representations of p-adic fields associated to elliptic curves.” 2015. Web. 24 Jan 2021.

Vancouver:

Turki S. The representations of p-adic fields associated to elliptic curves. [Internet] [Doctoral dissertation]. University of Oklahoma; 2015. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11244/15500.

Council of Science Editors:

Turki S. The representations of p-adic fields associated to elliptic curves. [Doctoral Dissertation]. University of Oklahoma; 2015. Available from: http://hdl.handle.net/11244/15500

University of Ottawa

23. Rivard-Cooke, Martin. An Analog of the Lindemann-Weierstrass Theorem for the Weierstrass p-Function .

Degree: 2014, University of Ottawa

URL: http://hdl.handle.net/10393/31722

► This thesis aims to prove the following statement, where the Weierstrass p-function has algebraic invariants and complex multiplication by Q(alpha): "If beta_{1},..., beta_{n} are algebraic…
(more)

Subjects/Keywords: Lindemann-Weierstrass; Elliptic Functions; Elliptic Curves; Complex Multiplication

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APA (6^{th} Edition):

Rivard-Cooke, M. (2014). An Analog of the Lindemann-Weierstrass Theorem for the Weierstrass p-Function . (Thesis). University of Ottawa. Retrieved from http://hdl.handle.net/10393/31722

Not specified: Masters Thesis or Doctoral Dissertation

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

Rivard-Cooke, Martin. “An Analog of the Lindemann-Weierstrass Theorem for the Weierstrass p-Function .” 2014. Thesis, University of Ottawa. Accessed January 24, 2021. http://hdl.handle.net/10393/31722.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Rivard-Cooke, Martin. “An Analog of the Lindemann-Weierstrass Theorem for the Weierstrass p-Function .” 2014. Web. 24 Jan 2021.

Vancouver:

Rivard-Cooke M. An Analog of the Lindemann-Weierstrass Theorem for the Weierstrass p-Function . [Internet] [Thesis]. University of Ottawa; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10393/31722.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Rivard-Cooke M. An Analog of the Lindemann-Weierstrass Theorem for the Weierstrass p-Function . [Thesis]. University of Ottawa; 2014. Available from: http://hdl.handle.net/10393/31722

Not specified: Masters Thesis or Doctoral Dissertation

University of Georgia

24.
Stankewicz, James Henry.
Twists of Shimura * curves*.

Degree: 2014, University of Georgia

URL: http://hdl.handle.net/10724/28124

► In this thesis we determine conditions for local points on the twist of the Shimura curve X^D_0(N) by an Atkin-Lehner involution w_m and a quadratic…
(more)

Subjects/Keywords: Shimura curves; Modular curves; Rational points on varieties; Quaternion algebras; Elliptic Curves; Complex multiplication

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APA (6^{th} Edition):

Stankewicz, J. H. (2014). Twists of Shimura curves. (Thesis). University of Georgia. Retrieved from http://hdl.handle.net/10724/28124

Not specified: Masters Thesis or Doctoral Dissertation

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

Stankewicz, James Henry. “Twists of Shimura curves.” 2014. Thesis, University of Georgia. Accessed January 24, 2021. http://hdl.handle.net/10724/28124.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Stankewicz, James Henry. “Twists of Shimura curves.” 2014. Web. 24 Jan 2021.

Vancouver:

Stankewicz JH. Twists of Shimura curves. [Internet] [Thesis]. University of Georgia; 2014. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10724/28124.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Stankewicz JH. Twists of Shimura curves. [Thesis]. University of Georgia; 2014. Available from: http://hdl.handle.net/10724/28124

Not specified: Masters Thesis or Doctoral Dissertation

University of North Carolina – Greensboro

25.
Rangel, Denise A.
*Elliptic**curves* and factoring.

Degree: 2010, University of North Carolina – Greensboro

URL: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=3696

► The *Elliptic* Curve Method (ECM) is a powerful and widely used algorithm for factorization which can be implemented with several different forms of *elliptic* *curves*.…
(more)

Subjects/Keywords: Curves, Elliptic.; Elliptic functions.; Factorization (Mathematics)

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APA (6^{th} Edition):

Rangel, D. A. (2010). Elliptic curves and factoring. (Masters Thesis). University of North Carolina – Greensboro. Retrieved from http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=3696

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

Rangel, Denise A. “Elliptic curves and factoring.” 2010. Masters Thesis, University of North Carolina – Greensboro. Accessed January 24, 2021. http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=3696.

MLA Handbook (7^{th} Edition):

Rangel, Denise A. “Elliptic curves and factoring.” 2010. Web. 24 Jan 2021.

Vancouver:

Rangel DA. Elliptic curves and factoring. [Internet] [Masters thesis]. University of North Carolina – Greensboro; 2010. [cited 2021 Jan 24]. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=3696.

Council of Science Editors:

Rangel DA. Elliptic curves and factoring. [Masters Thesis]. University of North Carolina – Greensboro; 2010. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=3696

26.
NC DOCKS at The University of North Carolina at Greensboro; Rangel, Denise A.
*Elliptic**curves* and factoring.

Degree: 2010, NC Docks

URL: http://libres.uncg.edu/ir/uncg/f/Rangel_uncg_0154M_10398.pdf

► The *Elliptic* Curve Method (ECM) is a powerful and widely used algorithm for factorization which can be implemented with several different forms of *elliptic* *curves*.…
(more)

Subjects/Keywords: Curves, Elliptic.; Elliptic functions.; Factorization (Mathematics)

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APA (6^{th} Edition):

NC DOCKS at The University of North Carolina at Greensboro; Rangel, D. A. (2010). Elliptic curves and factoring. (Thesis). NC Docks. Retrieved from http://libres.uncg.edu/ir/uncg/f/Rangel_uncg_0154M_10398.pdf

Not specified: Masters Thesis or Doctoral Dissertation

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

NC DOCKS at The University of North Carolina at Greensboro; Rangel, Denise A. “Elliptic curves and factoring.” 2010. Thesis, NC Docks. Accessed January 24, 2021. http://libres.uncg.edu/ir/uncg/f/Rangel_uncg_0154M_10398.pdf.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

NC DOCKS at The University of North Carolina at Greensboro; Rangel, Denise A. “Elliptic curves and factoring.” 2010. Web. 24 Jan 2021.

Vancouver:

NC DOCKS at The University of North Carolina at Greensboro; Rangel DA. Elliptic curves and factoring. [Internet] [Thesis]. NC Docks; 2010. [cited 2021 Jan 24]. Available from: http://libres.uncg.edu/ir/uncg/f/Rangel_uncg_0154M_10398.pdf.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

NC DOCKS at The University of North Carolina at Greensboro; Rangel DA. Elliptic curves and factoring. [Thesis]. NC Docks; 2010. Available from: http://libres.uncg.edu/ir/uncg/f/Rangel_uncg_0154M_10398.pdf

Not specified: Masters Thesis or Doctoral Dissertation

27.
Guajardo, Jorge.
Efficient Algorithms for *Elliptic* Curve Cryptosystems.

Degree: MS, 2000, Worcester Polytechnic Institute

URL: etd-0328100-225237 ; https://digitalcommons.wpi.edu/etd-theses/185

► *Elliptic* *curves* are the basis for a relative new class of public-key schemes. It is predicted that *elliptic* *curves* will replace many existing schemes in…
(more)

Subjects/Keywords: cryptography; elliptic curves; Galois Fields; Cryptography; Curves; Elliptic; Algorithms

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APA (6^{th} Edition):

Guajardo, J. (2000). Efficient Algorithms for Elliptic Curve Cryptosystems. (Thesis). Worcester Polytechnic Institute. Retrieved from etd-0328100-225237 ; https://digitalcommons.wpi.edu/etd-theses/185

Not specified: Masters Thesis or Doctoral Dissertation

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

Guajardo, Jorge. “Efficient Algorithms for Elliptic Curve Cryptosystems.” 2000. Thesis, Worcester Polytechnic Institute. Accessed January 24, 2021. etd-0328100-225237 ; https://digitalcommons.wpi.edu/etd-theses/185.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Guajardo, Jorge. “Efficient Algorithms for Elliptic Curve Cryptosystems.” 2000. Web. 24 Jan 2021.

Vancouver:

Guajardo J. Efficient Algorithms for Elliptic Curve Cryptosystems. [Internet] [Thesis]. Worcester Polytechnic Institute; 2000. [cited 2021 Jan 24]. Available from: etd-0328100-225237 ; https://digitalcommons.wpi.edu/etd-theses/185.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Guajardo J. Efficient Algorithms for Elliptic Curve Cryptosystems. [Thesis]. Worcester Polytechnic Institute; 2000. Available from: etd-0328100-225237 ; https://digitalcommons.wpi.edu/etd-theses/185

Not specified: Masters Thesis or Doctoral Dissertation

Leiden University

28.
Bröker, R.
Constructing *elliptic* *curves* of prescribed order.

Degree: 2006, Leiden University

URL: http://hdl.handle.net/1887/4425

Dit proefschrift gaat over algoritmen in de getaltheorie. Het woord algoritme is een verbastering van de naam van de Perzische wiskundige Muhammad ibn Musa al-Khwarizmi (790-850)
*Advisors/Committee Members: Supervisor: Stevenhagen P..*

Subjects/Keywords: Elliptic curves; Complex multiplication; Elliptic curves; Complex multiplication

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APA (6^{th} Edition):

Bröker, R. (2006). Constructing elliptic curves of prescribed order. (Doctoral Dissertation). Leiden University. Retrieved from http://hdl.handle.net/1887/4425

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

Bröker, R. “Constructing elliptic curves of prescribed order.” 2006. Doctoral Dissertation, Leiden University. Accessed January 24, 2021. http://hdl.handle.net/1887/4425.

MLA Handbook (7^{th} Edition):

Bröker, R. “Constructing elliptic curves of prescribed order.” 2006. Web. 24 Jan 2021.

Vancouver:

Bröker R. Constructing elliptic curves of prescribed order. [Internet] [Doctoral dissertation]. Leiden University; 2006. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1887/4425.

Council of Science Editors:

Bröker R. Constructing elliptic curves of prescribed order. [Doctoral Dissertation]. Leiden University; 2006. Available from: http://hdl.handle.net/1887/4425

University of California – Berkeley

29. Daub, Michael. Complex and p-adic computations of Chow-Heegner points.

Degree: Mathematics, 2013, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/9984v2ph

► In this work we delve into the theory of Chow-Heegner points, establishing some of their basic properties and developing two methods for their explicit computation.…
(more)

Subjects/Keywords: Mathematics; Chow-Heegner points; Elliptic curves; Number theory

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

APA (6^{th} Edition):

Daub, M. (2013). Complex and p-adic computations of Chow-Heegner points. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/9984v2ph

Not specified: Masters Thesis or Doctoral Dissertation

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

Daub, Michael. “Complex and p-adic computations of Chow-Heegner points.” 2013. Thesis, University of California – Berkeley. Accessed January 24, 2021. http://www.escholarship.org/uc/item/9984v2ph.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Daub, Michael. “Complex and p-adic computations of Chow-Heegner points.” 2013. Web. 24 Jan 2021.

Vancouver:

Daub M. Complex and p-adic computations of Chow-Heegner points. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2021 Jan 24]. Available from: http://www.escholarship.org/uc/item/9984v2ph.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Daub M. Complex and p-adic computations of Chow-Heegner points. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/9984v2ph

Not specified: Masters Thesis or Doctoral Dissertation

Universiteit Utrecht

30.
Woerden, K. van.
The Point Counting Function on *Elliptic* * Curves*.

Degree: 2014, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/296911

► Suppose a and m are two coprime integers. Then the arithmetic sequence a, a+m, a+2m, ... contains infinitely many primes. Moreover, their asymptotic density among…
(more)

Subjects/Keywords: elliptic curves; point counting; Chebotarev's density theorem; L-series; representation theory

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APA (6^{th} Edition):

Woerden, K. v. (2014). The Point Counting Function on Elliptic Curves. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/296911

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

Woerden, K van. “The Point Counting Function on Elliptic Curves.” 2014. Masters Thesis, Universiteit Utrecht. Accessed January 24, 2021. http://dspace.library.uu.nl:8080/handle/1874/296911.

MLA Handbook (7^{th} Edition):

Woerden, K van. “The Point Counting Function on Elliptic Curves.” 2014. Web. 24 Jan 2021.

Vancouver:

Woerden Kv. The Point Counting Function on Elliptic Curves. [Internet] [Masters thesis]. Universiteit Utrecht; 2014. [cited 2021 Jan 24]. Available from: http://dspace.library.uu.nl:8080/handle/1874/296911.

Council of Science Editors:

Woerden Kv. The Point Counting Function on Elliptic Curves. [Masters Thesis]. Universiteit Utrecht; 2014. Available from: http://dspace.library.uu.nl:8080/handle/1874/296911