Symmetric power functoriality for holomorphic modular forms

DOI10.1007/S10240-021-00127-3zbMATH Open1503.11085arXiv1912.11261OpenAlexW4205604019MaRDI QIDQ2067686

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Publication date: 18 January 2022

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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 $ngeq1$. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over $mathbbQ$.

Full work available at URL: https://arxiv.org/abs/1912.11261

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