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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

URL: https://uknowledge.uky.edu/math_etds/35

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

APA (6^{th} 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 (16^{th} 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 (7^{th} 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

URL: http://hdl.handle.net/1807/24553

►

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

APA (6^{th} 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 (16^{th} 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 (7^{th} 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

URL: http://hdl.handle.net/10919/32572

► 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

Record Details Similar Records

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

APA (6^{th} 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 (16^{th} 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 (7^{th} 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

URL: http://libres.uncg.edu/ir/uncg/f/Shepherd_uncg_0154M_11099.pdf

► 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

Record Details Similar Records

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

APA (6^{th} 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 (16^{th} 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 (7^{th} 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

Not specified: Masters Thesis or Doctoral Dissertation

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

Degree: 2013, University of North Carolina – Greensboro

URL: http://libres.uncg.edu/ir/listing.aspx?styp=ti&id=15057

► 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

Record Details Similar Records

❌

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

APA (6^{th} 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 (16^{th} 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 (7^{th} 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