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Shintani Lifts of Nearly Holomorphic Modular Forms

Number Theory 2020-12-16 v1

Abstract

In this paper, we compute the Fourier expansion of the Shintani lift of nearly holomorphic modular forms. As an application, we deduce modularity properties of generating series of cycle integrals of nearly holomorphic modular forms.

Keywords

Cite

@article{arxiv.2012.08280,
  title  = {Shintani Lifts of Nearly Holomorphic Modular Forms},
  author = {Yingkun Li and Shaul Zemel},
  journal= {arXiv preprint arXiv:2012.08280},
  year   = {2020}
}

Comments

45 pages, comments welcome!