On the rationality of cycle integrals of meromorphic modular forms

被引：7

作者：

Alfes-Neumann, Claudia ^{[1
]}

Bringmann, Kathrin ^{[2
]}

Schwagenscheidt, Markus ^{[2
]}

机构：

[1] Paderborn Univ, Math Inst, Warburger Str 100, D-33098 Paderborn, Germany

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

来源：

MATHEMATISCHE ANNALEN | 2020年 / 376卷 / 1-2期

关键词：

COEFFICIENTS; WEIGHT;

D O I：

10.1007/s00208-019-01914-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We derive finite rational formulas for the traces of cycle integrals of certain meromorphic modular forms. Moreover, we prove the modularity of a completion of the generating function of such traces. The theoretical framework for these results is an extension of the Shintani theta lift to meromorphic modular forms of positive even weight.

引用

页码：243 / 266

页数：24

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