| Titre : | Multiple Dirichlet series, automorphic forms, and analytic number theory : proceedings of the Bretton Woods Workshop on multiple Dirichlet series, Bretton Woods, New Hampshire July 11-14, 2005 | | Type de document : | texte imprimé | | Auteurs : | Solomon FRIEDBERG, Editeur scientifique | | Editeur : | Providence, R. I. [Etats Unis] : American Mathematical Society | | Année de publication : | Cop. 2006 | | Collection : | Proceedings of symposia in pure mathematics, ISSN 0082-0717 num. 75 | | Importance : | XII-303 p. | | Présentation : | ill. | | ISBN/ISSN/EAN : | 978-0-8218-3963-8 | | Langues : | Anglais | | Catégories : | 11-02
11Fxx
11MXX
| | Mots-clés : | série de Dirichlet forme automorphe théorie des nombres analytique | | Résumé : | Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of L-functions as well as the conjectures (such as those predicted by random matrix theory) can now be
obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and L-functions, on new examples of multiple Dirichlet series, and on developments in
the allied fields of automorphic forms and analytic number theory. | | Note de contenu : | références |
Multiple Dirichlet series, automorphic forms, and analytic number theory : proceedings of the Bretton Woods Workshop on multiple Dirichlet series, Bretton Woods, New Hampshire July 11-14, 2005 [texte imprimé] / Solomon FRIEDBERG, Editeur scientifique . - Providence, R. I. (Etats Unis) : American Mathematical Society, Cop. 2006 . - XII-303 p. : ill.. - ( Proceedings of symposia in pure mathematics, ISSN 0082-0717; 75) . ISBN : 978-0-8218-3963-8 Langues : Anglais | Catégories : | 11-02
11Fxx
11MXX
| | Mots-clés : | série de Dirichlet forme automorphe théorie des nombres analytique | | Résumé : | Multiple Dirichlet series are Dirichlet series in several complex variables. A multiple Dirichlet series is said to be perfect if it satisfies a finite group of functional equations and has meromorphic continuation everywhere. The earliest examples came from Mellin transforms of metaplectic Eisenstein series and have been intensively studied over the last twenty years. More recently, many other examples have been discovered and it appears that all the classical theorems on moments of L-functions as well as the conjectures (such as those predicted by random matrix theory) can now be
obtained via the theory of multiple Dirichlet series. Furthermore, new results, not obtainable by other methods, are just coming to light. This volume offers an account of some of the major research to date and the opportunities for the future. It includes an exposition of the main results in the theory of multiple Dirichlet series, and papers on moments of zeta- and L-functions, on new examples of multiple Dirichlet series, and on developments in
the allied fields of automorphic forms and analytic number theory. | | Note de contenu : | références |
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Siegel's modular forms and Dirichlet series (1971)
