Symmetric power functoriality for holomorphic modular forms, II

Let 𝑓 be a cuspidal Hecke eigenform without complex multiplication. We prove the automorphy of the symmetric power lifting Sym𝑛𝑓 for every 𝑛≥1.

Bibliographic Details
Main Authors: Newton, J, Thorne, JA
Format: Journal article
Language:English
Published: Springer 2021
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author Newton, J
Thorne, JA
author_facet Newton, J
Thorne, JA
author_sort Newton, J
collection OXFORD
description Let 𝑓 be a cuspidal Hecke eigenform without complex multiplication. We prove the automorphy of the symmetric power lifting Sym𝑛𝑓 for every 𝑛≥1.
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spelling oxford-uuid:2c1f9460-1e93-4803-9c1b-924d5778f6ca2022-03-28T14:37:33ZSymmetric power functoriality for holomorphic modular forms, IIJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2c1f9460-1e93-4803-9c1b-924d5778f6caEnglishSymplectic ElementsSpringer2021Newton, JThorne, JALet 𝑓 be a cuspidal Hecke eigenform without complex multiplication. We prove the automorphy of the symmetric power lifting Sym𝑛𝑓 for every 𝑛≥1.
spellingShingle Newton, J
Thorne, JA
Symmetric power functoriality for holomorphic modular forms, II
title Symmetric power functoriality for holomorphic modular forms, II
title_full Symmetric power functoriality for holomorphic modular forms, II
title_fullStr Symmetric power functoriality for holomorphic modular forms, II
title_full_unstemmed Symmetric power functoriality for holomorphic modular forms, II
title_short Symmetric power functoriality for holomorphic modular forms, II
title_sort symmetric power functoriality for holomorphic modular forms ii
work_keys_str_mv AT newtonj symmetricpowerfunctorialityforholomorphicmodularformsii
AT thorneja symmetricpowerfunctorialityforholomorphicmodularformsii