Central Values of Degree Six L-functions: The Case of Hilbert Modular Forms

2021/10/12 by Utkarsh Agrawal, Agrawal, Utkarsh
Mathematics · #Advanced Algebra and Geometry #Analytic Number Theory Research #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2110.05659

Abstract

In this paper we give a formula for the central value of the completed L-function L(s,Sym² g× f), where f and g are Hilbert newforms, by explicitly computing the local integrals appearing in the refined Gan-Gross-Prasad conjecture for SL₂×SL₂. We also work out the rationality of this value in some special cases and give a conjecture for the general case.

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