**Clay Mathematics Proceedings**

Volume: 13;
2011;
647 pp;
Softcover

MSC: Primary 11; 20; 22;
**Print ISBN: 978-0-8218-5204-0
Product Code: CMIP/13**

List Price: $136.00

Individual Member Price: $108.80

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# On Certain \(L\)-Functions

Share this page *Edited by *
*James Arthur; James W. Cogdell; Steve Gelbart; David Goldberg; Dinakar Ramakrishnan; Jiu-Kang Yu*

A co-publication of the AMS and Clay Mathematics Institute

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).

#### Readership

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