Symmetric power functoriality for holomorphic modular forms, II

James Newton; Jack A. Thorne

doi:10.1007/s10240-021-00126-4

Article

Symmetric power functoriality for holomorphic modular forms, II

James Newton; Jack A. Thorne

Publications Mathématiques de l'IHÉS, Volume 134 (2021), pp. 117-152

Abstract

Let $f$ be a cuspidal Hecke eigenform without complex multiplication. We prove the automorphy of the symmetric power lifting ${Sym}^{n} f$ for every $n \geq 1$ .

Received: 2020-07-17
Accepted: 2021-09-25
Online First: 2021-10-11
Published online: 2021-12-07

MR Zbl

DOI: 10.1007/s10240-021-00126-4

@article{PMIHES_2021__134__117_0,
     author = {James Newton and Jack A. Thorne},
     title = {Symmetric power functoriality for holomorphic modular forms, {II}},
     journal = {Publications Math\'ematiques de l'IH\'ES},
     pages = {117--152},
     year = {2021},
     publisher = {Springer International Publishing},
     address = {Cham},
     volume = {134},
     doi = {10.1007/s10240-021-00126-4},
     mrnumber = {4349241},
     zbl = {1503.11086},
     language = {en},
     url = {https://pmihes.centre-mersenne.org/articles/10.1007/s10240-021-00126-4/}
}

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James Newton; Jack A. Thorne. Symmetric power functoriality for holomorphic modular forms, II. Publications Mathématiques de l'IHÉS, Volume 134 (2021), pp. 117-152. doi: 10.1007/s10240-021-00126-4

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