Explicit Formulas : for Regularized Products and Series
The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book...
Guardat en:
| Autors principals: | , , |
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| Format: | Livre numérique |
| Idioma: | Anglais |
| Publicat: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Col·lecció: | Lecture notes in mathematics
1593 |
| Matèries: | |
| Accés en línia: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Contient également : "Spectral interpretation of Weil's explicit formula" de Dorian Goldfeld Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Spectral interpretation of Weil's explicit formula |
| Edition sous un autre format: | • Explicit formulas, for regularized products and series, Jay Jorgenson & Serge Lang, Dorian Goldfeld, 1994, Berlin, Springer, 1 volume (VIII-154 pages), Lecture notes in mathematics, 3-540-58673-3 • Explicit Formulas, Texte imprimé, 9783662191576 |
| Sumari: | The theory of explicit formulas for regularized products and series forms a natural continuation of the analytic theory developed in LNM 1564. These explicit formulas can be used to describe the quantitative behavior of various objects in analytic number theory and spectral theory. The present book deals with other applications arising from Gaussian test functions, leading to theta inversion formulas and corresponding new types of zeta functions which are Gaussian transforms of theta series rather than Mellin transforms, and satisfy additive functional equations. Their wide range of applications includes the spectral theory of a broad class of manifolds and also the theory of zeta functions in number theory and representation theory. Here the hyperbolic 3-manifolds are given as a significant example. |
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| Descripció de l’ítem: | Contient également : "Spectral interpretation of Weil's explicit formula" de Dorian Goldfeld Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9783540490418 (PDF) |
| ISSN: | 1617-9692 |
| Accés: | 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 |