Eisenstein Series and Applications

Afficher d'autres versions (1)

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 are not usually in...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Collectivité auteur: SpringerLink (Online service)
Autres auteurs: Gan, Wee Teck (Éditeur intellectuel), Kudla, Stephen S. (Éditeur intellectuel), Tschinkel, Yuri (Éditeur intellectuel)
Format: Électronique eBook
Langue:Inglés
Publié: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2008.
Édition:1st ed. 2008.
Collection:Progress in Mathematics, 258
Sujets:
Number theory.
Mathematics.
Geometry.
Algebraic geometry.
Topological groups.
Lie groups.
Number Theory.
Applications of Mathematics.
Algebraic Geometry.
Topological Groups and Lie Groups.
Accès en ligne:Texto Completo
Description
Résumé: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 are not usually interacting 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 exposition focuses on the common structural properties of Eisenstein series occurring in many related applications that have arisen in several recent developments in arithmetic: Arakelov intersection theory on Shimura varieties, special values of L-functions and Iwasawa theory, and equidistribution of rational/integer points on homogeneous varieties. Key questions that are considered include: Is it possible to identify a class of Eisenstein series whose Fourier coefficients (resp. special values) encode significant arithmetic information? Do such series fit into p-adic families? Are the Eisenstein series that arise in counting problems of this type? Contributors include: B. Brubaker, D. Bump, J. Franke, S. Friedberg, W.T. Gan, P. Garrett, M. Harris, D. Jiang, S.S. Kudla, E. Lapid, K. Prasanna, A. Raghuram, F. Shahidi, R. Takloo-Bighash.
Description matérielle:X, 314 p. online resource.
ISBN:9780817646394
ISSN:2296-505X ;

Documents similaires