On the Rankin-Selberg problem: higher power moments of the Riesz mean   error term
  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. 
Yoshio Tanigawa, Wenguang Zhai, Deyu Zhang