Franke, Johann (2021). A dominated convergence theorem for Eisenstein series. Ann. Math. Que., 45 (2). S. 291 - 321. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 2195-4763
Full text not available from this repository.Abstract
Based on the new approach to modular forms presented in [6] that uses rational functions, we prove a dominated convergence theorem for certain modular forms in the Eisenstein space. It states that certain rearrangements of the Fourier series will converge very fast near the cusp tau = 0. As an application, we consider L-functions associated to products of Eisenstein series and present natural generalized Dirichlet series representations that converge in an expanded half plane.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-562675 | ||||||||
| DOI: | 10.1007/s40316-021-00157-7 | ||||||||
| Journal or Publication Title: | Ann. Math. Que. | ||||||||
| Volume: | 45 | ||||||||
| Number: | 2 | ||||||||
| Page Range: | S. 291 - 321 | ||||||||
| Date: | 2021 | ||||||||
| Publisher: | SPRINGER HEIDELBERG | ||||||||
| Place of Publication: | HEIDELBERG | ||||||||
| ISSN: | 2195-4763 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/56267 |
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