| On the Rankin-Selberg problem: higher power moments of the Riesz mean error term |
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| 基金项目： | This work was supported by the National Natural Science Foundation of China (Grant No. 10301018)，the Natural Science Foundation of Shandong Province (Grant No. 2006A31) |
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| 摘 要： | LetΔ_1(x;φ) be the error term of the first Riesz mean of the Rankin-Selberg problem. We study the higher power moments ofΔ_1(x;φ) and derive an asymptotic formula for the 3-rd, 4-th and 5-th power moments by using Ivic's large value arguments and other techniques.
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| 收稿时间： | 24 May 2007 |
| 修稿时间： | 4 July 2007 |
On the Rankin-Selberg problem: higher power moments of the Riesz mean error term |
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| Authors: | Tanigawa Yoshio Zhai WenGuang Zhang DeYu |
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| Institution: | (1) Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan;(2) School of Mathematical Sciences, Shandong Normal University, Jinan, 250014, China |
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| Abstract: | Let Δ1(x;φ) be the error term of the first Riesz mean of the Rankin-Selberg problem. We study the higher power moments of Δ1(x; φ) and derive an asymptotic formula for the 3-rd, 4-th and 5-th power moments by using Ivić’s large value arguments and other
techniques.
This work was supported by the National Natural Science Foundation of China (Grant No. 10301018) and the Natural Science Foundation
of Shandong Province (Grant No. 2006A31) |
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| Keywords: | Rankin-Selberg problem Riesz mean Voronoi type formula power moment |
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