Chapter: Dirichlet L-Functions and the Distribution of Quadratic Residues

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Home > Quadratic Residues and Non-Residues: Selected Topics > Dirichlet L-Functions and the Distribution of Quadratic Residues

Quadratic Residues and Non-Residues: Selected Topics |

Steve Wright

Springer International Publishing

Quadratic Residues and Non-Residues: Selected Topics

Dirichlet L-Functions and the Distribution of Quadratic Residues

Chapter Info

Authors

Steve Wright

ARI Id

1664682883706_2712631

Access

Not Available Free

Pages

161-201

DOI

10.1007/978-3-319-45955-4_7

Chapter URL

https://rd.springer.com/chapter/10.1007/978-3-319-45955-4_7

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Chapters/Headings	Author(s)	Pages	Info
Front Matter		i-xiii
Introduction: Solving the General Quadratic Congruence Modulo a Prime	Steve Wright	1-8
Basic Facts	Steve Wright	9-19
Gauss’ Theorema Aureum: The Law of Quadratic Reciprocity	Steve Wright	21-77
Four Interesting Applications of Quadratic Reciprocity	Steve Wright	79-118
The Zeta Function of an Algebraic Number Field and Some Applications	Steve Wright	119-150
Elementary Proofs	Steve Wright	151-160
Dirichlet L-Functions and the Distribution of Quadratic Residues	Steve Wright	161-201
Dirichlet’s Class-Number Formula	Steve Wright	203-226
Quadratic Residues and Non-Residues in Arithmetic Progression	Steve Wright	227-271
Are Quadratic Residues Randomly Distributed?	Steve Wright	273-283
Back Matter		285-294
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