: Wee Teck Gan, Stephen S. Kudla, Yuri Tschinkel
: Eisenstein Series and Applications
: Birkhäuser Basel
: 9780817646394
: 1
: CHF 90.20
:
: Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik
: English
: 314
: Wasserzeichen/DRM
: PC/MAC/eReader/Tablet
: PDF

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.

Preface7
Contents9
Twisted Weyl Group Multiple Dirichlet Series: The Stable Case11
A Topological Model for Some Summand of the Eisenstein Cohomology of Congruence Subgroups37
The Saito Kurokawa Space of PGSp4 and Its Transfer to Inner Forms96
Values of Archimedean Zeta Integrals for Unitary Groups133
A Simple Proof of Rationality of Siegel Weil Eisenstein Series157
Residues of Eisenstein Series and Related Problems194
Some Extensions of the Siegel Weil Formula212
A Remark on Eisenstein Series245
Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms256
Functoriality and Special Values of L-Functions275
Bounds for Matrix Coe.cients and Arithmetic Applications298
References316