James Newton, Jack A. Thorne
Published 2022-12-07Version 1
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.
On the weights of mod $p$ Hilbert modular forms
Hecke and Sturm bounds for Hilbert modular forms over real quadratic fields
Nonvanishing of twists of $L$-functions attached to Hilbert modular forms
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