English

Fourier Coefficients of Weight Zero Mixed False Modular Forms

Number Theory 2023-04-20 v3

Abstract

In this paper we employ the Circle Method to give exact formulae for Fourier coefficients of an infinite family of weight zero mixed false modular forms using and extending the techniques of Bringmann and Nazaroglu as well as Rademacher. To do so we additionally provide a bound on a Kloosterman sum of modulus kk.

Keywords

Cite

@article{arxiv.2303.14025,
  title  = {Fourier Coefficients of Weight Zero Mixed False Modular Forms},
  author = {Giulia Cesana},
  journal= {arXiv preprint arXiv:2303.14025},
  year   = {2023}
}

Comments

53 pages, 3 figures, 1 table; Comments welcome!

R2 v1 2026-06-28T09:32:16.531Z