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You searched for subject:(binary quadratic forms). Showing records 1 – 5 of 5 total matches.

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1. Constable, Jonathan A. Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares.

Degree: 2016, University of Kentucky

 In 1883 Leopold Kronecker published a paper containing “a few explanatory remarks” to an earlier paper of his from 1866. His work loosely connected the… (more)

Subjects/Keywords: complete equivalence; binary bilinear forms; binary quadratic forms; class number relations; L. Kronecker; Gauss; Algebra; Number Theory

…Chapter 5 A Connection between Bilinear Forms and Binary Quadratic Forms 5.1 Developing the… …Connection with Binary Quadratic Forms . . . . . . . Notes on Section 5.1… …5.2 An Arithmetical Deduction for Binary Quadratic Forms with n = ac − b2 ≡ 3 mod 4… …manner for connecting the classical class number theory of binary quadratic forms to the class… …the classical treatment for automorphs of binary quadratic forms as given by Flath in [… 

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APA (6th Edition):

Constable, J. A. (2016). Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/math_etds/35

Chicago Manual of Style (16th Edition):

Constable, Jonathan A. “Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares.” 2016. Doctoral Dissertation, University of Kentucky. Accessed July 15, 2020. https://uknowledge.uky.edu/math_etds/35.

MLA Handbook (7th Edition):

Constable, Jonathan A. “Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares.” 2016. Web. 15 Jul 2020.

Vancouver:

Constable JA. Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares. [Internet] [Doctoral dissertation]. University of Kentucky; 2016. [cited 2020 Jul 15]. Available from: https://uknowledge.uky.edu/math_etds/35.

Council of Science Editors:

Constable JA. Kronecker's Theory of Binary Bilinear Forms with Applications to Representations of Integers as Sums of Three Squares. [Doctoral Dissertation]. University of Kentucky; 2016. Available from: https://uknowledge.uky.edu/math_etds/35


University of Toronto

2. Dahl, Alexander Oswald. On Moments of Class Numbers of Real Quadratic Fields.

Degree: 2010, University of Toronto

Class numbers of algebraic number fields are central invariants. Once the underlying field has an infinite unit group they behave very irregularly due to a… (more)

Subjects/Keywords: analytic number theory; real quadratic fields; binary quadratic forms; class group moments; 0405

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APA (6th Edition):

Dahl, A. O. (2010). On Moments of Class Numbers of Real Quadratic Fields. (Masters Thesis). University of Toronto. Retrieved from http://hdl.handle.net/1807/24553

Chicago Manual of Style (16th Edition):

Dahl, Alexander Oswald. “On Moments of Class Numbers of Real Quadratic Fields.” 2010. Masters Thesis, University of Toronto. Accessed July 15, 2020. http://hdl.handle.net/1807/24553.

MLA Handbook (7th Edition):

Dahl, Alexander Oswald. “On Moments of Class Numbers of Real Quadratic Fields.” 2010. Web. 15 Jul 2020.

Vancouver:

Dahl AO. On Moments of Class Numbers of Real Quadratic Fields. [Internet] [Masters thesis]. University of Toronto; 2010. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/1807/24553.

Council of Science Editors:

Dahl AO. On Moments of Class Numbers of Real Quadratic Fields. [Masters Thesis]. University of Toronto; 2010. Available from: http://hdl.handle.net/1807/24553


Virginia Tech

3. Miller, Nicole Renee. The Structure of the Class Group of Imaginary Quadratic Fields.

Degree: MS, Mathematics, 2005, Virginia Tech

 Let Q(√{-d}) be an imaginary quadratic field with discriminant Δ. We use the isomorphism between the ideal class groups of the field and the equivalence… (more)

Subjects/Keywords: 7-rank; 5-rank; Positive Definite Forms; Genera; Class Group; Binary Quadratic Fields

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APA (6th Edition):

Miller, N. R. (2005). The Structure of the Class Group of Imaginary Quadratic Fields. (Masters Thesis). Virginia Tech. Retrieved from http://hdl.handle.net/10919/32572

Chicago Manual of Style (16th Edition):

Miller, Nicole Renee. “The Structure of the Class Group of Imaginary Quadratic Fields.” 2005. Masters Thesis, Virginia Tech. Accessed July 15, 2020. http://hdl.handle.net/10919/32572.

MLA Handbook (7th Edition):

Miller, Nicole Renee. “The Structure of the Class Group of Imaginary Quadratic Fields.” 2005. Web. 15 Jul 2020.

Vancouver:

Miller NR. The Structure of the Class Group of Imaginary Quadratic Fields. [Internet] [Masters thesis]. Virginia Tech; 2005. [cited 2020 Jul 15]. Available from: http://hdl.handle.net/10919/32572.

Council of Science Editors:

Miller NR. The Structure of the Class Group of Imaginary Quadratic Fields. [Masters Thesis]. Virginia Tech; 2005. Available from: http://hdl.handle.net/10919/32572

4. NC DOCKS at The University of North Carolina at Greensboro; Shepherd, Rick L. Binary quadratic forms and genus theory.

Degree: 2013, NC Docks

 The study of binary quadratic forms arose as a natural generalization of questions about the integers posed by the ancient Greeks. A major milestone of… (more)

Subjects/Keywords: Forms, Binary; Forms, Quadratic; Group theory

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APA (6th Edition):

NC DOCKS at The University of North Carolina at Greensboro; Shepherd, R. L. (2013). Binary quadratic forms and genus theory. (Thesis). NC Docks. Retrieved from http://libres.uncg.edu/ir/uncg/f/Shepherd_uncg_0154M_11099.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

NC DOCKS at The University of North Carolina at Greensboro; Shepherd, Rick L. “Binary quadratic forms and genus theory.” 2013. Thesis, NC Docks. Accessed July 15, 2020. http://libres.uncg.edu/ir/uncg/f/Shepherd_uncg_0154M_11099.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

NC DOCKS at The University of North Carolina at Greensboro; Shepherd, Rick L. “Binary quadratic forms and genus theory.” 2013. Web. 15 Jul 2020.

Vancouver:

NC DOCKS at The University of North Carolina at Greensboro; Shepherd RL. Binary quadratic forms and genus theory. [Internet] [Thesis]. NC Docks; 2013. [cited 2020 Jul 15]. Available from: http://libres.uncg.edu/ir/uncg/f/Shepherd_uncg_0154M_11099.pdf.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

NC DOCKS at The University of North Carolina at Greensboro; Shepherd RL. Binary quadratic forms and genus theory. [Thesis]. NC Docks; 2013. Available from: http://libres.uncg.edu/ir/uncg/f/Shepherd_uncg_0154M_11099.pdf

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

5. Shepherd, Rick L. Binary quadratic forms and genus theory.

Degree: 2013, University of North Carolina – Greensboro

 The study of binary quadratic forms arose as a natural generalization of questions about the integers posed by the ancient Greeks. A major milestone of… (more)

Subjects/Keywords: Forms, Binary; Forms, Quadratic; Group theory

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

APA (6th Edition):

Shepherd, R. L. (2013). Binary quadratic forms and genus theory. (Masters Thesis). University of North Carolina – Greensboro. Retrieved from http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=15057

Chicago Manual of Style (16th Edition):

Shepherd, Rick L. “Binary quadratic forms and genus theory.” 2013. Masters Thesis, University of North Carolina – Greensboro. Accessed July 15, 2020. http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=15057.

MLA Handbook (7th Edition):

Shepherd, Rick L. “Binary quadratic forms and genus theory.” 2013. Web. 15 Jul 2020.

Vancouver:

Shepherd RL. Binary quadratic forms and genus theory. [Internet] [Masters thesis]. University of North Carolina – Greensboro; 2013. [cited 2020 Jul 15]. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=15057.

Council of Science Editors:

Shepherd RL. Binary quadratic forms and genus theory. [Masters Thesis]. University of North Carolina – Greensboro; 2013. Available from: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=15057

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