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On some mean square estimates in the Rankin-Selberg problem

Aleksandar Ivic

Published 2006-03-01, updated 2006-06-28Version 5

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.

Comments: 12 pages
Journal: Applicable Analysis and Discrete Math. 1(2007), 1-11.
Categories: math.NT
Subjects: 11N37, 11M06
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