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

Published by De Gruyter 2005

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

Edited by: James W. Cogdell , Dihua Jiang , Stephen S. Kudla , David Soudry and Robert J. Stanton

Volume 11 in the series Ohio State University Mathematical Research Institute Publications

https://doi.org/10.1515/9783110892703

Overview
Contents

About this book

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.

Author / Editor information

James W. Cogdell is Professor at the Mathematics Department of the Oklahoma State University, USA.

Dihua Jiang is Associate Professor at the School of Mathematics at the University of Minnesota, USA.

Stephen S. Kudla is Professor at the Mathematics Department of the University of Maryland, USA.

David Soudry is Professor at the School of Mathematical Sciences of the Tel-Aviv University, Israel.

Robert J. Stanton is Professor at the Mathematics Department of the Ohio State University, USA.

Reviews

"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."
L'Enseignement Mathematique 3-4/2005

Topics

Frontmatter Requires Authentication Unlicensed Licensed Download PDF	I
Preface Requires Authentication Unlicensed Licensed Download PDF	V
Table of contents Requires Authentication Unlicensed Licensed Download PDF	VII
Bessel functions for GL(n) over a p-adic field Ehud Moshe Baruch Requires Authentication Unlicensed Licensed Download PDF	1
The Rankin-Selberg method: an introduction and survey Daniel Bump Requires Authentication Unlicensed Licensed Download PDF	41
Asymptotics for sums of twisted L-functions and applications Gautam Chinta, Solomon Friedberg and Jeffrey Hoffstein Requires Authentication Unlicensed Licensed Download PDF	75
Partial Bessel functions for quasi-split groups J. W. Cogdell, I. I. Piatetski-Shapiro and F. Shahidi Requires Authentication Unlicensed Licensed Download PDF	95
Non-tempered Arthur packets of G2 Wee Teck Gan and Nadya Gurevich Requires Authentication Unlicensed Licensed Download PDF	129
On the nonvanishing of the central value of the Rankin-Selberg L-functions II David Ginzburg, Dihua Jiang and Stephen Rallis Requires Authentication Unlicensed Licensed Download PDF	157
Construction of CAP representations for symplectic groups using the descent method David Ginzburg, Stephen Rallis and David Soudry Requires Authentication Unlicensed Licensed Download PDF	193
The Rallis inner product formula and p-adic L-functions Michael Harris, Jian-Shu Li and Christopher M. Skinner Requires Authentication Unlicensed Licensed Download PDF	225
A guide to the relative trace formula Hervé Jacquet Requires Authentication Unlicensed Licensed Download PDF	257
On first occurrence in the local theta correspondence Stephen S. Kudla and Stephen Rallis Requires Authentication Unlicensed Licensed Download PDF	273
On the local factors of representations of classical groups Erez M. Lapid and Stephen Rallis Requires Authentication Unlicensed Licensed Download PDF	309
Stabilite pour les representations elliptiques de reduction unipotente; le cas des groupes unitaires Colette Mœglin Requires Authentication Unlicensed Licensed Download PDF	361
Global method in relative trace identities Zhengyu Mao and Stephen Rallis Requires Authentication Unlicensed Licensed Download PDF	403
Remark on congruences between algebraic automorphic forms Marie-France Vignéras Requires Authentication Unlicensed Licensed Download PDF	419

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: Reprint 2011
Audience: Research mathematicians and students, interested in automorphic representations; academic libraries
Pages
- Front matter: 8
- Main content: 430
Keywords: Automorphe Form; L-Funktion

eBook

Published: June 24, 2011
ISBN: 9783110892703

Hardcover

Published: October 17, 2005
ISBN: 9783110179392