Symmetric power functoriality for Hilbert modular forms

James Newton; Jack A. Thorne

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arXiv · 2212.03595

Symmetric power functoriality for Hilbert modular forms

James Newton·Jack A. Thorne

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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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James Newton, Jack A. Thorne. 2022-12-07. Symmetric power functoriality for Hilbert modular forms. https://arxiv.org/abs/2212.03595

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