On the Rankin-Selberg problem: higher power moments of the Riesz mean error term

Yoshio Tanigawa; Wenguang Zhai; Deyu Zhang

doi:10.1007/s11425-007-0130-4

paper

On the Rankin-Selberg problem: higher power moments of the Riesz mean error term

arXiv:0805.1975 · doi:10.1007/s11425-007-0130-4

Abstract

Let $Δ_{1} (x; ϕ)$ be the error term of the first Riesz means of the Rankin-Selberg zeta function. We study the higher power moments of $Δ_{1} (x; ϕ)$ and derive an asymptotic formula for 3-rd, 4-th and 5-th power moments by using Ivić 's large value arguments.

18 Pages

References in corpus (1)

On higher-power moments of $Δ (x)$ (II)