Universität zu Köln

Lobrich, Steffen and Schwagenscheidt, Markus (2022). Meromorphic Modular Forms with Rational Cycle Integrals. Int. Math. Res. Notices, 2022 (1). S. 312 - 343. OXFORD: OXFORD UNIV PRESS. ISSN 1687-0247

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Abstract

We study rationality properties of geodesic cycle integrals of meromorphic modular forms associated to positive definite binary quadratic forms. In particular, we obtain finite rational formulas for the cycle integrals of suitable linear combinations of these meromorphic modular forms.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lobrich, Steffen UNSPECIFIED UNSPECIFIED UNSPECIFIED Schwagenscheidt, Markus UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-668093
DOI:	10.1093/imrn/rnaa104
Journal or Publication Title:	Int. Math. Res. Notices
Volume:	2022
Number:	1
Page Range:	S. 312 - 343
Date:	2022
Publisher:	OXFORD UNIV PRESS
Place of Publication:	OXFORD
ISSN:	1687-0247
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language HEEGNER POINTS; SERIES; DERIVATIVES; PERIODS; VALUES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/66809