Eisenstein Series and Applications
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...
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| Altri autori: | , , |
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| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edizione: | 1st ed. 2008. |
| Serie: | Progress in Mathematics
258 |
| Soggetti: | |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Cet ouvrage réunit des articles sur le thème des journées d'études "Eisenstein series and application" tenues à l'American Institute of Mathematics (Palo Alto) du 15 au 19 aout 2005 L'impression du document génère 316 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Eisenstein series and applications, Wee Teck Gan, Stephen S. Kudla, Yuri Tschinkel, editors, 2008, Boston (Mass.) [etc.], Birkhäuser, 1 vol. (X-314 p.), Progress in mathematics, 978-0-8176-4496-3 • Eisenstein Series and Applications, Texte imprimé, 9780817671259 • Eisenstein series and applications, Wee Teck Gan, Stephen S. Kudla, Yuri Tschinkel, editors, 2008, Boston (Mass.) [etc.], Birkhäuser, 1 vol. (X-314 p.), Progress in mathematics, 978-0-8176-4496-3 |
| Riassunto: | 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 |
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| Descrizione del documento: | Cet ouvrage réunit des articles sur le thème des journées d'études "Eisenstein series and application" tenues à l'American Institute of Mathematics (Palo Alto) du 15 au 19 aout 2005 L'impression du document génère 316 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Notes bibliogr. |
| ISBN: | 9780817646394 |
| ISSN: | 2296-505X |
| Accesso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |