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arXiv · 2112.12978

On Deligne's conjecture for symmetric fifth $L$-functions of modular forms

Shih-Yu Chen
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Abstract

We 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 ${\rm GL}_4$.

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Shih-Yu Chen. 2021-12-24. On Deligne's conjecture for symmetric fifth $L$-functions of modular forms. https://arxiv.org/abs/2112.12978

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