On Deligne's conjecture for symmetric fifth $L$-functions of modular forms
Number Theory
2021-12-28 v1
Abstract
We prove Deligne's conjecture for symmetric fifth -functions of elliptic newforms of weight greater than . 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 .
Keywords
Cite
@article{arxiv.2112.12978,
title = {On Deligne's conjecture for symmetric fifth $L$-functions of modular forms},
author = {Shih-Yu Chen},
journal= {arXiv preprint arXiv:2112.12978},
year = {2021}
}