On Higher Moments of the Error Term in the Rankin-Selberg Problem

Abstract

Let Δ₁(x; φ) denote the error term in the classical Rankin-Selberg problem. In this paper, the authors consider the higher power moments of Δ₁(x; φ) and derive the asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous results.

Keywords

The Rankin-Selberg problem / Power moment / Voronoï formula / 11N37

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