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arXiv · 0805.1975

On the Rankin-Selberg problem: higher power moments of the Riesz mean error term

Yoshio Tanigawa·Wenguang Zhai·Deyu Zhang
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Abstract

Let $\Delta_1(x;\phi)$ be the error term of the first Riesz means of the Rankin-Selberg zeta function. We study the higher power moments of $\Delta_1(x;\phi)$ and derive an asymptotic formula for 3-rd, 4-th and 5-th power moments by using Ivi\'c 's large value arguments.

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Yoshio Tanigawa, Wenguang Zhai, Deyu Zhang. 2008-05-14. On the Rankin-Selberg problem: higher power moments of the Riesz mean error term. https://doi.org/10.1007/s11425-007-0130-4

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