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On Deligne's conjecture for symmetric fifth $L$-functions of modular forms
Published 24 Dec 2021 in math.NT | (2112.12978v1)
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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