Quadratic Residues and Non-Residues

Quadratic Residues and Non-Residues

Selected Topics

Wright, Steve

Springer International Publishing AG

11/2016

292

Mole

Inglês

9783319459547

15 a 20 dias

4686

Descrição não disponível.
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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11-XX; 12D05, 13B05, 52C05, 42A16, 42A20;quadratic residues;quadratic non-residues;law of quadratic reciprocity;distribution of quadratic residues;quadratic residues in arithmetic progression