# Symmetric power functoriality for holomorphic modular forms, II

@article{Newton2021SymmetricPF,
title={Symmetric power functoriality for holomorphic modular forms, II},
author={James Newton and Jack A Thorne},
journal={Publications math{\'e}matiques de l'IH{\'E}S},
year={2021}
}
• Published 15 September 2020
• Mathematics
• Publications mathématiques de l'IHÉS
<jats:p>Let <jats:inline-formula><jats:alternatives><jats:tex-math>$f$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>f</mml:mi> </mml:math></jats:alternatives></jats:inline-formula> be a cuspidal Hecke eigenform without complex multiplication. We prove the automorphy of the symmetric power lifting <jats:inline-formula><jats:alternatives><jats:tex-math>$\operatorname{Sym}^{n} f$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org…
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