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Congruences for L-Functions

This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at certain special values.
There is no other book on the market which deals with this subject. The book presents in a unified way congruences found by many authors over the years, from the classical ones of Gauss and Dirichlet to the recent ones of Gras, Vehara, and others.
Audience: This book is aimed at graduate students and researchers interested in (analytic) number theory, functions of a complex variable and special functions.

1117397248
Congruences for L-Functions

This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at certain special values.
There is no other book on the market which deals with this subject. The book presents in a unified way congruences found by many authors over the years, from the classical ones of Gauss and Dirichlet to the recent ones of Gras, Vehara, and others.
Audience: This book is aimed at graduate students and researchers interested in (analytic) number theory, functions of a complex variable and special functions.

54.99 In Stock
Congruences for L-Functions

Congruences for L-Functions

Congruences for L-Functions

Congruences for L-Functions

Overview

This book provides a comprehensive and up-to-date treatment of research carried out in the last twenty years on congruences involving the values of L-functions (attached to quadratic characters) at certain special values.
There is no other book on the market which deals with this subject. The book presents in a unified way congruences found by many authors over the years, from the classical ones of Gauss and Dirichlet to the recent ones of Gras, Vehara, and others.
Audience: This book is aimed at graduate students and researchers interested in (analytic) number theory, functions of a complex variable and special functions.

Product Details

ISBN-13: 9789048154906
Publisher: Springer Netherlands
Publication date: 12/09/2010
Series: Mathematics and Its Applications , #511
Edition description: Softcover reprint of hardcover 1st ed. 2000
Pages: 256
Product dimensions: 6.30(w) x 9.45(h) x 0.02(d)

Table of Contents

I. Short Character Sums.- II. Class Number Congruences.- III. Congruences between the Orders of K2-Groups.- IV Congruences among the Values of 2-Adic L-Functions.- V. Applications of Zagier’s Formula (I).- VI. Applications of Zagier’s Formula (II).- Author Index.- List of symbols.
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