Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $\Gamma_1(t^n)$

Shin Hattori

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arXiv · 2012.07323

Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $\Gamma_1(t^n)$

Shin Hattori

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Abstract

Let $k\geq 2$ and $n\geq 1$ be any integers. In this paper, we prove that all Hecke operators act trivially on the space of ordinary Drinfeld cuspforms of level $\Gamma_1(t^n)$ and weight $k$.

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Shin Hattori. 2020-12-14. Triviality of the Hecke action on ordinary Drinfeld cuspforms of level $\Gamma_1(t^n)$. https://arxiv.org/abs/2012.07323

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