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On some mean square estimates in the Rankin-Selberg problem

Research paper by Aleksandar Ivic

Indexed on: 28 Jun '06Published on: 28 Jun '06Published in: Mathematics - Number Theory



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 $\Delta(x;\xi) (0\le\xi\le1)$, 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.