NON-ARCHIMEDEAN L-FUNCTIONS by Alexei A. Panchishkin ( 9783540541370 )

Item Details

Title:

NON-ARCHIMEDEAN L-FUNCTIONS
ASSOCIATED WITH SIEGEL AND HILBERT MODULAR FORMS

By:

Format:

Paperback

List price:	£11.00
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ISBN 10:

3540541373

ISBN 13:

9783540541370

Publisher:

SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG

Series:

Lecture Notes in Mathematics Vol 1471

Pages:

164

Description:

Addressing specialists in the fields of representation theory, functional analysis and algebraic geometry, this monograph stresses the arithmetic of zeta functions of automorphic forms. It provides background on p-adic measures, their Mellin transforms and Euler products.

Synopsis:

The main subject of the book is the arithmetic of zeta functions of automorphic forms. More precisely, it looks at p-adic properties of the special values of these functions. For the Riemann-zeta function this goes back to the classical Kummer congruences for Bernoulli numbers and their p-adic analytic continuation of the standard zeta functions of Siegel and modular forms and of the convolutions of Hilbert modular forms. The book is addressed to specialists in representation theory, functional analysis and algebraic geometry. Together with new results, it provides considerable background information on p-adic measures, their Mellin transforms, Siegel and Hilbert modular forms, Hecke operators acting on them, and Euler products.

Publication:

Germany

Imprint:

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Returns:

Non-returnable

Some other items by this author:

INTRODUCTION TO MODERN NUMBER THEORY (HB)

INTRODUCTION TO MODERN NUMBER THEORY (PB)

NON-ARCHIMEDEAN L-FUNCTIONS AND ARITHMETICAL SIEGEL MODULAR FORMS (PB)