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On Sums of Two Coprime k-th Powers(II) |
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| Authors: | Wenguang Zhai Xiaodong Cao |
| Institution: | (1) Shandong Normal University, Jinan, Shandong, China;(2) Beijing Institute of Petro-Chemical Technology, Beijing, China |
| Abstract: | For fixed k ≥ 3, let Ek(x) denote the error term of the sum
, where
1. It is proved that if the Riemann hypothesis is true, then
,
. A short interval result is also obtained. |
| Keywords: | 2000 Mathematics Subject Classifications: 11P21 |
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