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

Publication date: 14 December 2020

Abstract: Let

k g e q 2

and

n g e q 1

be any integers. In this paper, we prove that all Hecke operators act trivially on the space of ordinary Drinfeld cuspforms of level

G a m m a_{1} (t^{n})

and weight

k

.

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