Congruences for L-Functions

ISBN-13: 9789048154906 / Angielski / Miękka / 2010 / 256 str.

J. Urbanowicz; Kenneth S. Williams

Opis

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.

Spis treści

Preface. 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). Bibliography. Author Index. Subject Index. List of symbols.