On the Higher Power Moments of the Riesz Mean Error Term for the Rankin-Selberg Problem

Abstract

Let Δ₁ (x; φ) denote the Riesz mean error term in the classical Rankin-Selberg problem. In this paper, we study the higher power moments of Δ₁ (x; φ) and derive asymptotic formulas for 4-th and 5-th power moments.

Keywords

The Rankin-Selberg problem / power moment / Voronoi formula / 11N37

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Peking University