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On some mean square estimates in the Rankin-Selberg problem

Aleksandar Ivic
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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 $Δ(x;ξ) (0\leξ\le1)$, the error term in the Rankin-Selberg problem weighted by $ξ$-th power of the logarithm. Mean square estimates for $Δ(x;ξ)$ are proved.

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Aleksandar Ivic. 2006-06-28. On some mean square estimates in the Rankin-Selberg problem. https://arxiv.org/abs/math/0603013

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