Automorphic representations, L-functions and applications : progress and prospects : proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, the Ohio State University, March 27-30, 2003 / editors, James W. Cogdell ... [et al.].

Format:

Book

Contributor:

Cogdell, James W., 1953-

Series:

Ohio State University Mathematical Research Institute Publications

Ohio State University Mathematical Research Institute publications ; 11

Language:

English

Subjects (All):

L-functions--Congresses.

L-functions.

Automorphic forms--Congresses.

Automorphic forms.

Representations of groups--Congresses.

Representations of groups.

Physical Description:

1 online resource (440 p.)

Edition:

Reprint 2011

Place of Publication:

Berlin ; New York : Walter de Gruyter, c2005.

Language Note:

English

Summary:

This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27-30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin-Selberg L-functions (Bump, Ginzburg-Jiang-Rallis, Lapid-Rallis) the relative trace formula (Jacquet, Mao-Rallis) automorphic representations (Gan-Gurevich, Ginzburg-Rallis-Soudry) representation theory of p-adic groups (Baruch, Kudla-Rallis, Mœglin, Cogdell-Piatetski-Shapiro-Shahidi) p-adic methods (Harris-Li-Skinner, Vigneras), and arithmetic applications (Chinta-Friedberg-Hoffstein). The survey articles by Bump, on the Rankin-Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

Contents:

Frontmatter

Preface

Table of contents

Bessel functions for GL(n) over a p-adic field / Baruch, Ehud Moshe

The Rankin-Selberg method: an introduction and survey / Bump, Daniel

Asymptotics for sums of twisted L-functions and applications / Chinta, Gautam / Friedberg, Solomon / Hoffstein, Jeffrey

Partial Bessel functions for quasi-split groups / Cogdell, J. W. / Piatetski-Shapiro, I. I. / Shahidi, F.

Non-tempered Arthur packets of G2 / Gan, Wee Teck / Gurevich, Nadya

On the nonvanishing of the central value of the Rankin-Selberg L-functions II / Ginzburg, David / Jiang, Dihua / Rallis, Stephen

Construction of CAP representations for symplectic groups using the descent method / Ginzburg, David / Rallis, Stephen / Soudry, David

The Rallis inner product formula and p-adic L-functions / Harris, Michael / Li, Jian-Shu / Skinner, Christopher M.

A guide to the relative trace formula / Jacquet, Hervé

On first occurrence in the local theta correspondence / Kudla, Stephen S. / Rallis, Stephen

On the local factors of representations of classical groups / Lapid, Erez M. / Rallis, Stephen

Stabilite pour les representations elliptiques de reduction unipotente; le cas des groupes unitaires / Mœglin, Colette

Global method in relative trace identities / Mao, Zhengyu / Rallis, Stephen

Remark on congruences between algebraic automorphic forms / Vignéras, Marie-France

Notes:

Description based upon print version of record.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

Includes bibliographical references.

ISBN:

9783110892703

3110892707

OCLC:

948656381