On Drinfeld modular forms of higher rank and quasi-periodic functions

Yen-Tsung Chen; Oğuz Gezmiş

On Drinfeld modular forms of higher rank and quasi-periodic functions

Number Theory 2021-08-25 v2

Authors: Yen-Tsung Chen , Oğuz Gezmiş

Abstract

In the present paper, we introduce a special function on the Drinfeld period domain $\Omega^{r}$ for $r\geq 2$ which gives the false Eisenstein series of Gekeler when $r=2$ . We also study its functional equation and relation with quasi-periodic functions of a Drinfeld module as well as transcendence of its values at CM points.

Keywords

drinfeld modular forms drinfeld period domain false eisenstein series quasi-periodic functions functional equation transcendence cm points

Cite

@article{arxiv.2101.11819,
  title  = {On Drinfeld modular forms of higher rank and quasi-periodic functions},
  author = {Yen-Tsung Chen and Oğuz Gezmiş},
  journal= {arXiv preprint arXiv:2101.11819},
  year   = {2021}
}

Comments

28 pages. Final version to appear in Transactions of the American Mathematical Society

On Drinfeld modular forms of higher rank and quasi-periodic functions

Abstract

Keywords

Cite

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