On Deligne's conjecture for certain automorphic L-functions for \rm GL(3)× \rm GL(2)

2018/06/26 by Chen, Shih-Yu, Cheng, Yao
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1806.09767

Abstract

We prove Deligne's conjecture for central critical values of certain automorphic L-functions for \rm GL(3)× \rm GL(2). The proof is base on rationality results for central critical values of triple product L-functions, which follow from establishing explicit Ichino's formulae for trilinear period integrals for Hilbert cusp forms on totally real etale cubic algebras over ℚ.

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