Quadratic Residues and Non-Residues: Selected Topics

by Steve Wright

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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.

Format:Paperback

Language:English

ISBN:3319459546

ISBN13:9783319459547

Release Date:November 2016

Publisher:Springer

Length:292 Pages

Weight:0.96 lbs.

Dimensions:0.7" x 6.1" x 9.2"

Related Subjects

Math Mathematics Science & Math

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