| 算术级数中的五素数平方和定理 |
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| 引用本文： | 孟宪萌,崔振.算术级数中的五素数平方和定理[J].数学学报,2008,51(2):209-218. |
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| 作者姓名： | 孟宪萌 崔振 |
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| 作者单位： | [1]山东财政学院统计与数理学院,济南250014 [2]上海交通大学理学院,上海200240 |
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| 基金项目： | 科技部973项目（2007CB807903）;山东省科技发展项目（2006GG2310001）及博士后基金（200602004） 致谢 作者感谢审稿人提出的有益建议,感谢展涛教授、刘建亚教授的鼓励. |
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| 摘 要： | 设N是充分大的正整数满足N≡5mod 24,l和d是满足(l,d)=1的整数.A0,A>1是满足A0=600A+2000的正常数.本文证明对所有的整数0
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| 关 键 词： | 大筛法 圆法 加性问题 |
| 文章编号： | 0583-1431（2008）02-0209-10 |
| 收稿时间： | 2006-09-11 |
On Hua's Five Prime Squares Theorem with One Prime in Arithmetic Progressions |
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| Xian Meng MENG Zhen CUI.On Hua''s Five Prime Squares Theorem with One Prime in Arithmetic Progressions[J].Acta Mathematica Sinica,2008,51(2):209-218. |
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| Authors: | Xian Meng MENG Zhen CUI |
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| Institution: | Xian Meng MENG Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, P. R. China Zhen CUI Department of Mathematics, Shanghai Jiaotong University, Shanghai 200240, P. R. China |
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| Abstract: | Let N be a sufficiently large positive integer satisfying N = 5 mod 24, l and d be integers satisfying (l,d) = 1. Denote by A0 and A > 1 the positive constants, satisfying A0 = 600A + 2000. For all integers 0 < d≤D0 = N1/4 log-A0 N, with at most O(D0 log-AN) exceptional values, the equation N = p12+p22 + ... + p52 has solutions in primes p1,p2, ... ,p5, such that p1=l mod d. |
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| Keywords: | large sieve circle method additive problem |
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