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| On Higher Moments of the Error Term in the Rankin-Selberg Problem |
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Citation： |
Jing HUANG,Yoshio TANIGAWA,Wenguang ZHAI,Deyu ZHANG.On Higher Moments of the Error Term in the Rankin-Selberg Problem[J].Chinese Annals of Mathematics B,2025,46(5):795~806 |
| Page view： 162
Net amount： 97 |
Authors： |
Jing HUANG; Yoshio TANIGAWA;Wenguang ZHAI;Deyu ZHANG |
Foundation： |
the National Natural Science Foundation of China (No. 12171286,12471009) |
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| Abstract： |
Let ?1(x; φ) denote the error term in the classical Rankin-Selberg problem.
In this paper, the authors consider the higher power moments of ?1(x;φ) and derive the
asymptotic formulas for 3-rd, 4-th and 5-th power moments, which improve the previous
results. |
Keywords： |
The Rankin-Selberg problem Power moment Voronoi formula |
Classification： |
11N37 |
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