Asymptotic Expansions for Dirichlet Series Associated to Cusp Forms
- We prove an asymptotic expansion of Riemann-Siegel type for Dirichlet series associated to cusp forms. Its derivation starts from a new integral formula for the Dirichlet series and uses sharp asymptotic expansions for partial sums of the Fourier series of the cusp form.
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| Author: | Andreas Guthmann |
|---|---|
| URN: | urn:nbn:de:hbz:386-kluedo-7956 |
| Series (Serial Number): | Preprints (rote Reihe) des Fachbereich Mathematik (300) |
| Document Type: | Preprint |
| Language of publication: | English |
| Year of Completion: | 1998 |
| Year of first Publication: | 1998 |
| Publishing Institution: | Technische Universität Kaiserslautern |
| Date of the Publication (Server): | 2000/04/03 |
| Tag: | Dirichlet series; Riemann-Siegel formula; cusp forms |
| Faculties / Organisational entities: | Kaiserslautern - Fachbereich Mathematik |
| DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
| MSC-Classification (mathematics): | 11-XX NUMBER THEORY / 11Mxx Zeta and L-functions: analytic theory / 11M41 Other Dirichlet series and zeta functions (For local and global ground fields, see 11R42, 11R52, 11S40, 11S45; for algebro-geometric methods, see 14G10; see also 11E45, 11F66, 11F70, 11F72) |
| Licence (German): |  Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |