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Symmetric power functoriality for Hilbert modular forms

Published 7 Dec 2022 in math.NT | (2212.03595v2)

Abstract: Let $F$ be a totally real field. We prove the existence of all symmetric power liftings of those cuspidal automorphic representations of $\mathrm{GL}_2(\mathbf{A}_F)$ associated to Hilbert modular forms of regular weight.

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