On the higher moments of the error term in the Rankin-Selberg problem
Number Theory
2025-04-29 v1
Abstract
Let denote the error term in the classical Rankin-Selberg problem. In this paper, we consider the higher power moments of and derive the asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous results.
Cite
@article{arxiv.2504.18862,
title = {On the higher moments of the error term in the Rankin-Selberg problem},
author = {Jing Huang and Yoshio Tanigawa and Wenguang Zhai and Deyu Zhang},
journal= {arXiv preprint arXiv:2504.18862},
year = {2025}
}
Comments
14 pages