Cycle integrals of meromorphic modular forms and coefficients of harmonic Maass forms

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:497

Article

Alfes-Neumann, C.¹  Bringmann, Kathrin²  Males, J.²  Schwagenscheidt, M.³ 

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

[2] Univ Cologne, Dept Math & Comp Sci, Weyertal 86-90, D-50931 Cologne, Germany

[3] ETH, Math Dept, CH-8092 Zurich, Switzerland

关键词: Modular forms;    Cycle integrals;    Harmonic Maass forms;   

DOI  :  10.1016/j.jmaa.2020.124898

来源: Elsevier

【 摘 要 】

In this paper, we investigate traces of cycle integrals of certain meromorphic modular forms. By relating them to regularized theta lifts we provide explicit formulae for them in terms of coefficients of harmonic Maass forms. (C) 2020 Published by Elsevier Inc.

【 授权许可】

Free