Franke, Johann (2021). Rational functions, cotangent sums and Eichler integrals. Res. Number Theory, 7 (2). CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 2363-9555
Full text not available from this repository.Abstract
With the help of so called pre-weak functions, we formulate a very general transformation law for some holomorphic functions on the upper half plane and motivate the term of a generalized Eisenstein series with real-exponent Fourier expansions. Using the transformation law in the case of negative integers k, we verify a close connection between finite cotangent sums of a specific type and generalized L-functions at integer arguments. Finally, we expand this idea to Eichler integrals and period polynomials for some types of modular forms.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-561614 | ||||||||
| DOI: | 10.1007/s40993-021-00250-4 | ||||||||
| Journal or Publication Title: | Res. Number Theory | ||||||||
| Volume: | 7 | ||||||||
| Number: | 2 | ||||||||
| Date: | 2021 | ||||||||
| Publisher: | SPRINGER INTERNATIONAL PUBLISHING AG | ||||||||
| Place of Publication: | CHAM | ||||||||
| ISSN: | 2363-9555 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/56161 |
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