Congruences for L-Functions / Edition 1

by J. Urbanowicz, Kenneth S. Williams

Overview

This book provides a comprehensive and up-to-date treatment of researc h carried out in the last twenty years on congruences involving the va lues of L-functions (attached to quadratic characters) at certain spec ial values. There is no other book on the market which deals with thi s subject. The book presents in a unified way congruences found by man y authors over the years, from the classical ones of Gauss and Dirichl et to the recent ones of Gras, Vehara, and others.

Product Details

ISBN-13:	9780792363798
Publisher:	Springer Netherlands
Publication date:	06/30/2000
Series:	Mathematics and Its Applications , #511
Edition description:	2000
Pages:	256
Product dimensions:	6.14(w) x 9.21(h) x 0.36(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.