Symmetric power functoriality for holomorphic modular forms

2019/12/24 by Newton, James, Thorne, Jack A. · 9 citations
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1912.11261

Abstract

Let f be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting Symⁿ f for every n ≥ 1. We establish the same result for a more general class of cuspidal Hecke eigenforms, including all those associated to semistable elliptic curves over ℚ.

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