Mertens, Michael H. (2014). Mock modular forms and class number relations. Res. Math. Sci., 1 (1). CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 2197-9847
Full text not available from this repository.Abstract
Purpose: Almost 40 years ago, H. Cohen formulated a conjecture about the modularity of a certain infinite family of functions involving the generating function of the Hurwitz class numbers of binary quadratic forms. Methods: We use techniques from the theory of modular, mock modular, and Jacobi forms. Result: In this paper, we prove a slight improvement of Cohen's original conjecture. Conclusions: From our main result, we derive so far unknown recurrence relations for Hurwitz class numbers.
| Item Type: | Journal Article | ||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-422853 | ||||||||
| DOI: | 10.1186/2197-9847-1-6 | ||||||||
| Journal or Publication Title: | Res. Math. Sci. | ||||||||
| Volume: | 1 | ||||||||
| Number: | 1 | ||||||||
| Date: | 2014 | ||||||||
| Publisher: | SPRINGER INTERNATIONAL PUBLISHING AG | ||||||||
| Place of Publication: | CHAM | ||||||||
| ISSN: | 2197-9847 | ||||||||
| Language: | English | ||||||||
| Faculty: | Unspecified | ||||||||
| Divisions: | Unspecified | ||||||||
| Subjects: | no entry | ||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/42285 |
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