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

Yoshio Tanigawa, Wenguang Zhai, Deyu Zhang

Let ${\Delta }_1(x;\varphi )$ be the error term of the first Riesz means of the Rankin-Selberg zeta function. We study the higher power moments of ${\Delta }_1(x;\varphi )$ and derive an asymptotic formula for…