%0 Journal Article %T On the Rankin-Selberg problem: higher power moments of the Riesz mean error term %A Yoshio Tanigawa %A Wenguang Zhai %A Deyu Zhang %J Mathematics %D 2008 %I arXiv %R 10.1007/s11425-007-0130-4 %X Let $\Delta_1(x;\phi)$ be the error term of the first Riesz means of the Rankin-Selberg zeta function. We study the higher power moments of $\Delta_1(x;\phi)$ and derive an asymptotic formula for 3-rd, 4-th and 5-th power moments by using Ivi\'c 's large value arguments. %U http://arxiv.org/abs/0805.1975v1