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arXiv · 2501.04348

Integral moment of the Riemann zeta function and Hecke $L$ functions

Zhaoyan Chen
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Abstract

Let $f$ be a Hecke cusp form for $SL(2,\mathbb{Z})$. We prove an asymptotic formula for the mixed moment of the product of $\zeta(s)$ and $L(s,f)$ on the critical line. Similarly, we prove an asymptotic formula for the mixed moment of the product of $|\zeta^{2}(s)|$ and $L(s,f)$ on the critical line.

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Zhaoyan Chen. 2025-01-08. Integral moment of the Riemann zeta function and Hecke $L$ functions. https://arxiv.org/abs/2501.04348

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