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- Publisher
- de Gruyter
- Copyright
- © 2022 Walter de Gruyter GmbH, Berlin/Boston
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/forum-2021-0278
- Publisher site
- See Article on Publisher Site
Abstract
AbstractWe prove Deligne’s conjecture for symmetric fifth L-functions of elliptic newforms of weight greater than 5.As a consequence, we establish period relations between motivic periods associated to an elliptic newform and the Betti–Whittaker periods of its symmetric cube functorial lift to GL4{\operatorname{GL}_{4}}.
Journal
Forum Mathematicum – de Gruyter
Published: May 1, 2022
Keywords: Deligne’s conjecture; 11F67