Symmetric power functoriality for holomorphic modular forms, II

  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},
<jats:p>Let <jats:inline-formula><jats:alternatives><jats:tex-math>$f$</jats:tex-math><mml:math xmlns:mml=""> <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="… 
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  • Chenran Xu
  • Mathematics
    Journal of Number Theory
  • 2021
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