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

Yen-Tsung Chen, Oğuz Gezmiş

Published 2021-01-28Version 1

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.