The Second Moment of $\mathrm{GL}_4 \times \mathrm{GL}_2$ $L$-functions at Special Points

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The paper offers an alternative proof for Chandee and Li's result on the second moment of $\mathrm{GL}_4 \times \mathrm{GL}_2$ special $L$-values, utilizing a more conceptually direct method that avoids detecting 'Eisenstein--Kloosterman' cancellation and does not employ Poisson summation.

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This paper presents an alternative proof of a result on the second moment of GL_4 x GL_2 special L-values in mathematics.

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arXiv:2510.11186v2 Announce Type: replace Abstract: In this paper, we provide an alternative proof of Chandee and Li's result on the second moment of $\mathrm{GL}_4 \times \mathrm{GL}_2$ special $L$-values. Our method is conceptually more direct as it neither detects the `Eisenstein--Kloosterman' cancellation nor uses the Poisson summation.