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arXiv · 1912.11261

Symmetric power functoriality for holomorphic modular forms

James Newton·Jack A. Thorne
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Abstract

Let $f$ be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting $\mathrm{Sym}^n f$ for every $n \geq 1$. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over $\mathbb{Q}$.

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James Newton, Jack A. Thorne. 2021-09-27. Symmetric power functoriality for holomorphic modular forms. https://arxiv.org/abs/1912.11261

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