Quadratic Residues and Non-Residues: Selected Topics
Author:   Steve Wright
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   2171
ISBN:  

9783319459547


Pages:   292
Publication Date:   15 November 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Quadratic Residues and Non-Residues: Selected Topics


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Author:   Steve Wright
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Volume:   2171
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   4.686kg
ISBN:  

9783319459547


ISBN 10:   3319459546
Pages:   292
Publication Date:   15 November 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Chapter 1. Introduction: Solving the General Quadratic Congruence Modulo a Prime.- Chapter 2. Basic Facts.- Chapter 3. Gauss' Theorema Aureum: the Law of Quadratic Reciprocity.- Chapter 4. Four Interesting Applications of Quadratic Reciprocity.- Chapter 5. The Zeta Function of an Algebraic Number Field and Some Applications.- Chapter 6. Elementary Proofs.- Chapter 7. Dirichlet L-functions and the Distribution of Quadratic Residues.- Chapter 8. Dirichlet's Class-Number Formula.- Chapter 9. Quadratic Residues and Non-residues in Arithmetic Progression.- Chapter 10. Are quadratic residues randomly distributed?.- Bibliography.

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After earning degrees in mathematics from Western Kentucky University and Indiana University, the author joined the faculty at Oakland University, where he is now Professor of Mathematics in the Department of Mathematics and Statistics. He currently occupies his time studying number theory.

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