Symmetric power functoriality for holomorphic modular forms

Let 𝑓 be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting Sym𝑛𝑓 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.

Bibliographic Details
Main Authors: Newton, J, Thorne, JA
Format: Journal article
Language:English
Published: Springer 2021