| 稀疏素数集中的Waring-Goldbach问题(Ⅱ) |
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| 引用本文： | 张德瑜,翟文广.稀疏素数集中的Waring-Goldbach问题(Ⅱ)[J].数学学报,2005,48(4):809-816. |
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| 作者姓名： | 张德瑜 翟文广 |
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| 作者单位： | [1]山东大学数学与系统科学学院，济南250100 [2]山东师范大学数学科学学院，济南250014 |
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| 基金项目： | 国家自然科学基金资助项目(10301018) |
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| 摘 要： | 本文研究了Waring-Goldbach问题(k=2)与Piatetski-Shapiro素数定理的混合问题,从而进一步深化了华罗庚教授的经典结果.
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| 关 键 词： | Waring-Goldbach问题 Piatetski-Shapiro素数 三角和 |
On the Waring-Goldbach Problem in Thin Sets of Primes(Ⅱ) |
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| De Yu ZHANG Institute of Mathematics,Shandong University,Jinan ,P. R. China Wen Guang ZHAI.On the Waring-Goldbach Problem in Thin Sets of Primes(Ⅱ)[J].Acta Mathematica Sinica,2005,48(4):809-816. |
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| Authors: | De Yu ZHANG Institute of Mathematics Shandong University Jinan P R China Wen Guang ZHAI |
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| Institution: | De Yu ZHANG Institute of Mathematics, Shandong University, Jinan 250100, P. R. China Wen Guang ZHAI Department of Mathematics, Shandong Normal University, Jinan 250014, P. R. China |
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| Abstract: | In this paper, we study the hybrid problem of the Waring-Goldbach problem (k = 2)and the Piatetski-Shapiro prime number theorem, thus deepening the classical result of Hua Luokeng. |
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| Keywords: | Waring-Goldbach problem Piatetski-Shapiro prime number Trigonometric sum |
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