Non-Archimedean L-functions and arithmetical Siegel modular forms / / Michel Courtieu, Alexei Panchishkin
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| Autore: |
Courtieu Michel <1973->
|
| Titolo: |
Non-Archimedean L-functions and arithmetical Siegel modular forms / / Michel Courtieu, Alexei Panchishkin
|
| Pubblicazione: | Berlin, Germany ; ; New York, New York : , : Springer-Verlag, , [2003] |
| ©2003 | |
| Edizione: | Second edition. |
| Descrizione fisica: | 1 online resource (VIII, 204 p.) |
| Disciplina: | 512.73 |
| Soggetto topico: | L-functions |
| Siegel domains | |
| Modular groups | |
| Classificazione: | 11R54 |
| 11F41 | |
| Note generali: | Bibliographic Level Mode of Issuance: Monograph |
| Nota di contenuto: | Introduction -- Non-Archimedean analytic functions, measures and distributions -- Siegel modular forms and the holomorphic projection operator -- Arithmetical differential operators on nearly holomorphic Siegel modular forms -- Admissible measures for standard L-functions and nearly holomorphic Siegel modular forms. |
| Sommario/riassunto: | This book is devoted to the arithmetical theory of Siegel modular forms and their L-functions. The central object are L-functions of classical Siegel modular forms whose special values are studied using the Rankin-Selberg method and the action of certain differential operators on modular forms which have nice arithmetical properties. A new method of p-adic interpolation of these critical values is presented. An important class of p-adic L-functions treated in the present book are p-adic L-functions of Siegel modular forms having logarithmic growth (which were first introduced by Amice, Velu and Vishik in the elliptic modular case when they come from a good super singular reduction of elliptic curves and abelian varieties). The given construction of these p-adic L-functions uses precise algebraic properties of the arithmetical Shimura differential operator. The book could be very useful for postgraduate students and for non-experts giving a quick access to a rapidly developing domain of algebraic number theory: the arithmetical theory of L-functions and modular forms. |
| Titolo autorizzato: | Non-Archimedean L-functions and arithmetical Siegel modular forms |
| ISBN: | 3-540-45178-1 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 996466655903316 |
| Lo trovi qui: | Univ. di Salerno |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture Notes in Mathematics, . 0075-8434 ; ; 1471