MULTIPLE DIRICHLET SERIES, AUTOMORPHIC FORMS, AND ANALYTIC NUMBER THEORY by Solomon Friedberg (Editor), Daniel Bump (Editor), Dorian Goldfeld (Editor) ( 9780821839638 )

Item Details

Title:

MULTIPLE DIRICHLET SERIES, AUTOMORPHIC FORMS, AND ANALYTIC NUMBER THEORY
PROCEEDINGS OF THE BRETTON WOODS WORKSHOP ON MULTIPLE DIRICHLET, JULY 11-14, 2005, BRETTON WOODS, NEW HAMPSHIRE

By:

Solomon Friedberg (Editor), Daniel Bump (Editor), Dorian Goldfeld (Editor)

Format:

Hardback

List price:	£122.00
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ISBN 10:

0821839632

ISBN 13:

9780821839638

Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

15 November, 2006

Edition:

Illustrated edition

Series:

Proceedings of Symposia in Pure Mathematics No. 75

Pages:

303

Description:

Multiple Dirichlet series are Dirichlet series in several complex variables. This book covers the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on examples of multiple Dirichlet series, and on developments in the allied fields of automorphic forms and analytic number theory.

Synopsis:

Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of $L$-functions as well as the conjectures (such as those predicted by random matrix theory) can now be obtained via the theory of multiple Dirichlet series.Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and $L$-functions, on new examples of multiple Dirichlet series, and on developments in the allied fields of automorphic forms and analytic number theory.

Illustrations:

Illustrations

Publication:

Imprint:

American Mathematical Society

Returns:

Returnable

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