Mixed integral moments of the Hecke $L$-functions and Riemann zeta function

Zhaoyan Chen

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arXiv · 2601.19177

Mixed integral moments of the Hecke $L$-functions and Riemann zeta function

Zhaoyan Chen

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Abstract

In this paper, let $f$ be a Hecke cusp form for $SL(2,\mathbb{Z})$. We establish an asymptotic formula for the mixed moment of $\zeta^{2}(s)$ and $L(s,f)$ on the critical line, valid for both holomorphic and Maass forms.

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Zhaoyan Chen. 2026-01-27. Mixed integral moments of the Hecke $L$-functions and Riemann zeta function. https://arxiv.org/abs/2601.19177

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