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

Published 26 Apr 2025 in math.NT | (2504.18862v1)

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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