Finiteness of Hilbert eigenform product identities

You, Yuanyi; Zhang, Yichao

doi:10.1090/proc/15249

Finiteness of Hilbert eigenform product identities
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by Yuanyi You and Yichao Zhang PDF

Proc. Amer. Math. Soc. 149 (2021), 573-581 Request permission

Abstract:

We prove a conjecture of Joshi and Zhang on eigenform product identities for Hilbert modular forms of full level. Namely, we prove that for a fixed positive integer $n$, there are finitely many eigenform product identities over all totally real number fields of degree $n$ and all Hilbert eigenforms of weight $2$ or greater and of full level.

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