Work

Meromorphic Modular Forms with Rational Cycle Integrals

Year: 2020

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnaa104

Authors: Steffen Löbrich, Markus Schwagenscheidt

Institutions: University of Amsterdam, University of Cologne

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,534

Funders: California Department of Fish and Game, H2020 European Research Council