On some mean square estimates in the Rankin-Selberg problem

Abstract

An overview of the classical Rankin-Selberg problem involving the asymptotic formula for sums of coefficients of holomorphic cusp forms is given. We also study the function $\Delta (x;\xi )(0\le \xi \le 1)$, the error term in the Rankin-Selberg problem weighted by $\xi$-th power of the logarithm. Mean square estimates for $\Delta (x;\xi )$ are proved.

12 pages

Cited by in corpus (1)

• On the Rankin-Selberg problem in short intervals