The second moment of GL4×GL2$\mathrm{GL}_4 \times \mathrm{GL}_2$ L$L$ ‐functions at special points

Abstract

In this paper, we provide an alternative proof of Chandee and Li's result on the second moment of GL4×GL2$ \mathrm{GL}_4 \times \mathrm{GL}_2$ special L$L$ ‐values. Our method is conceptually more direct as it neither detects the “Eisenstein–Kloosterman” cancelation nor uses the Poisson summation formula.