Meromorphic Modular Forms with Rational Cycle Integrals-Reference-Cited by-同舟云学术

Meromorphic Modular Forms with Rational Cycle Integrals

Published:2020-06-18 Issue:1 Volume:2022 Page:312-342
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Löbrich Steffen¹,Schwagenscheidt Markus²

Affiliation:

1. Korteweg–de Vries Institute for Mathematics, University of Amsterdam, Science Park 105-107, 1098 XG Amsterdam, The Netherlands

2. Mathematical Institute, University of Cologne, Weyertal 86-90, D–50931 Cologne, Germany

Abstract

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.

Funder

ERC

DFG

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/article-pdf/2022/1/312/42136527/rnaa104.pdf

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