Bruinier, Jan Hendrik and Schwagenscheidt, Markus ORCID: 0000-0002-8214-3106 (2020). A CONVERSE THEOREM FOR BORCHERDS PRODUCTS ON X-0(N). Nagoya Math. J., 240. S. 237 - 257. NEW YORK: CAMBRIDGE UNIV PRESS. ISSN 2152-6842
Full text not available from this repository.Abstract
We show that every Fricke-invariant meromorphic modular form for Gamma(0)(N) whose divisor on X-0(N) is defined over Q and supported on Heegner divisors and the cusps is a generalized Borcherds product associated to a harmonic Maass form of weight 1/2. Further, we derive a criterion for the finiteness of the multiplier systems of generalized Borcherds products in terms of the vanishing of the central derivatives of L-functions of certain weight 2 newforms. We also prove similar results for twisted Borcherds products.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-310431 | ||||||||||||
DOI: | 10.1017/nmj.2019.3 | ||||||||||||
Journal or Publication Title: | Nagoya Math. J. | ||||||||||||
Volume: | 240 | ||||||||||||
Page Range: | S. 237 - 257 | ||||||||||||
Date: | 2020 | ||||||||||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||||||||||
Place of Publication: | NEW YORK | ||||||||||||
ISSN: | 2152-6842 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/31043 |
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