Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Bruinier, Jan Hendrik UNSPECIFIED UNSPECIFIED UNSPECIFIED Schwagenscheidt, Markus UNSPECIFIED orcid.org/0000-0002-8214-3106 UNSPECIFIED
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:	Keywords Language FORMS; COEFFICIENTS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/31043