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arXiv · 2510.01835

Mixed moments of Hecke eigenforms and $L$-functions

Bingrong Huang
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Abstract

In this paper, we establish estimates for the expectation and variance of the mixed $(2,2)$-moment of two Hecke eigenforms of distinct weights. Our results yield applications to triple product $L$-functions. The proofs are based on moments of $L$-functions.

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Bingrong Huang. 2025-10-02. Mixed moments of Hecke eigenforms and $L$-functions. https://doi.org/10.1112/mtk.70091

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