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arXiv · 2504.18862

On the higher moments of the error term in the Rankin-Selberg problem

Jing Huang·Yoshio Tanigawa·Wenguang Zhai·Deyu Zhang
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Abstract

Let $\Delta_1(x;\varphi)$ denote the error term in the classical Rankin-Selberg problem. In this paper, we consider the higher power moments of $\Delta_1(x;\varphi)$ and derive the asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous results.

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Jing Huang, Yoshio Tanigawa, Wenguang Zhai, Deyu Zhang. 2025-04-26. On the higher moments of the error term in the Rankin-Selberg problem. https://arxiv.org/abs/2504.18862

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