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On Certain \(L\)-Functions
Edited by: James Arthur, University of Toronto, ON, Canada, James W. Cogdell, Ohio State University, Columbus, OH, Steve Gelbart, Weizmann Institute of Science, Rehovot, Israel, David Goldberg, Purdue University, West Lafayette, IN, Dinakar Ramakrishnan, California Institute of Technology, Pasadena, CA, and Jiu-Kang Yu, Purdue University, West Lafayette, IN
A co-publication of the AMS and Clay Mathematics Institute.

Clay Mathematics Proceedings
2011; 647 pp; softcover
Volume: 13
ISBN-10: 0-8218-5204-3
ISBN-13: 978-0-8218-5204-0
List Price: US$129
Member Price: US$103.20
Order Code: CMIP/13
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See also:

Eisenstein Series and Automorphic \(L\)-Functions - Freydoon Shahidi

Harmonic Analysis, the Trace Formula, and Shimura Varieties - James Arthur, David Ellwood and Robert Kottwitz

This volume constitutes the proceedings of a conference, "On Certain \(L\)-functions", held July 23-27, 2007 at Purdue University, West Lafayette, Indiana. The conference was organized in honor of the 60th birthday of Freydoon Shahidi, widely recognized as having made groundbreaking contributions to the Langlands program.

The articles in this volume represent a snapshot of the state of the field from several viewpoints. Contributions illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their \(L\)-functions, and both local and global theory are addressed.

Topics discussed in the articles include Langlands functoriality, the Rankin-Selberg method, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of \(p\)-adic groups, Plancherel formula and its consequences, the Gross-Prasad conjecture, and more. The volume also includes an expository article on Shahidi's contributions to the field, which serves as an introduction to the subject.

Experts will find this book a useful reference, and beginning researchers will be able to use it to survey major results in the Langlands program.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).


Graduate students and research mathematicians interested in analytic number theory and automorphic forms.

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