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

Number Theory 2025-10-14 v1

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 LL-values. Our method is conceptually more direct as it neither detects the `Eisenstein--Kloosterman' cancellation nor uses the Poisson summation.

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Cite

@article{arxiv.2510.11186,
  title  = {The Second Moment of $\mathrm{GL}_4 \times \mathrm{GL}_2$ $L$-functions at Special Points},
  author = {Zhi Qi and Ruihua Qiao},
  journal= {arXiv preprint arXiv:2510.11186},
  year   = {2025}
}

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14 pages