Autor: Wee Teck Gan
ISBN-13: 9780817644963
Einband: Buch
Seiten: 314
Gewicht: 583 g
Format: 245x159x23 mm
Sprache: Englisch

Eisenstein Series and Applications

Progress in Mathematics
 Buch
124,34 €*
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas that do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic. The book also deals with key problems in the field, such as whether it is possible to identify a class of Eisenstein series whose Fourier coefficients (resp. special values) encode significant arithmetic information, and whether such series fit into p-adic families.
Preface.-Twisted Weyl Group Multiple Dirichlet Series: The Stable Case by Ben Brubaker, Daniel Bump, Solomon Friedberg.-A Topological Model for some Summand of the Eisenstein Cohomology of Congruence Subgroups by Jens Franke.-The Saito-Lurokawa Space of PGSp4 and its Transfer to Inner Forms by Wee Teck Gan.-Values of Archimedean Zeta Integrals for Unitary Groups by Paul Garrett.-A Simple Proof of Rationality of Siegel-Weil Eisenstein Series by Michael Harris.-Residues of Eisenstein Series and Related Problems by Dihua Jiang.-Some Extensions of the Siegel-Weil Formula by Stephen S. Kudla.-A Remark on Eisenstein Series by Erez M. Lapid.-Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms by Kartik Prasanna.-Functoriality and Special Values of L-functions by A. Raghuram, Freydoon Shahidi.-Bounds for Matrix Coefficients and Arithmetic Applications by Ramin Takloo-Bighash.
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.
Autor: Wee Teck Gan
ISBN-13 :: 9780817644963
ISBN: 0817644962
Erscheinungsjahr: 01.02.2008
Verlag: Springer-Verlag GmbH
Gewicht: 583g
Seiten: 314
Sprache: Englisch
Sonstiges: Buch, 245x159x23 mm, 20 illus.