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

Autor:	Chen, Yen-Tsung, Gezmiş, Oğuz
Rok vydání:	2021
Předmět:	Mathematics - Number Theory 11F52 (Primary) 11G09 (Secondary)
Druh dokumentu:	Working Paper
Popis:	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. Comment: 28 pages. Final version to appear in Transactions of the American Mathematical Society
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2101.11819 Zobrazit plný text záznamu View this record from Arxiv