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

Chen, Yen-Tsung; Gezmi̇ş, Oğuz

doi:10.1090/tran/8547

On Drinfeld modular forms of higher rank and quasi-periodic functions
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by Yen-Tsung Chen and Oğuz Gezmi̇ş PDF

Trans. Amer. Math. Soc. 375 (2022), 2387-2416 Request permission

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.

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