On Some Mean Square Estimates in the Rankin-selberg Problem
نویسنده
چکیده
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 ∆(x; ξ) (0 ≤ ξ ≤ 1), the error term in the Rankin-Selberg problem weighted by ξ-th power of the logarithm. Mean square estimates for ∆(x; ξ) are proved. 1. The Rankin-Selberg problem The classical Rankin-Selberg problem consists of the estimation of the error term function (1.1) ∆(x) := ∑
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