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arXiv · 2101.11819

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

Yen-Tsung Chen·Oğuz Gezmiş
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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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Yen-Tsung Chen, Oğuz Gezmiş. 2021-01-28. On Drinfeld modular forms of higher rank and quasi-periodic functions. https://arxiv.org/abs/2101.11819

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