Meromorphic Modular Forms with Rational Cycle Integrals

被引：6

作者：

Lobrich, Steffen ^{[1
]}

Schwagenscheidt, Markus ^{[2
]}

机构：

[1] Univ Amsterdam, Kortewegde de Vries Inst Math, Sci Pk 105-107, NL-1098 XG Amsterdam, Netherlands

[2] Univ Cologne, Math Inst, Weyertal 86-90, D-50931 Cologne, Germany

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 01期

基金：

欧洲研究理事会;

关键词：

HEEGNER POINTS; SERIES; DERIVATIVES; PERIODS; VALUES;

D O I：

10.1093/imrn/rnaa104

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：312 / 342

页数：31

共 29 条

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