E-Book, Englisch, Band 258, 314 Seiten
Reihe: Progress in Mathematics
Gan / Kudla / Tschinkel Eisenstein Series and Applications
1. Auflage 2007
ISBN: 978-0-8176-4639-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 258, 314 Seiten
Reihe: Progress in Mathematics
ISBN: 978-0-8176-4639-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Autoren/Hrsg.
Weitere Infos & Material
1;Preface;7
2;Contents;9
3;Twisted Weyl Group Multiple Dirichlet Series: The Stable Case;11
4;A Topological Model for Some Summand of the Eisenstein Cohomology of Congruence Subgroups;37
5;The Saito–Kurokawa Space of PGSp4 and Its Transfer to Inner Forms;96
6;Values of Archimedean Zeta Integrals for Unitary Groups;133
7;A Simple Proof of Rationality of Siegel–Weil Eisenstein Series;157
8;Residues of Eisenstein Series and Related Problems;194
9;Some Extensions of the Siegel–Weil Formula;212
10;A Remark on Eisenstein Series;245
11;Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms;256
12;Functoriality and Special Values of L-Functions;275
13;Bounds for Matrix Coe.cients and Arithmetic Applications;298
14;References;316
