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Quadratic Residues and Non-Residues: Selected Topics

Quadratic Residues and Non-Residues: Selected Topics

Paperback

Series: Lecture Notes in Mathematics, Book 2171

AlgebraGeneral MathematicsGeometry

ISBN10: 3319459546
ISBN13: 9783319459547
Publisher: Springer Nature
Published: Nov 15 2016
Pages: 292
Weight: 0.96
Height: 0.65 Width: 6.14 Depth: 9.21
Language: English
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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