Author

Tarun Dalal

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Preprint Sep 2026

On Decomposition of Drinfeld cusp forms of level $t$

In this article, we first prove that the Hecke operator $T_t$ has no eigenform in $\Sla$ with eigenvalue $-t^{k/2}$, when the characteristic of the base field is odd. Furthermore, if $\dim \Slt$ is even, we show that $T_t$ has no eigenform in $\Sla$ with eigenvalue $t^{k/2}$. As a consequence, we prove that the direct...

Tarun Dalal · 0 citations