| 一个二元丢番图不等式 |
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| 引用本文： | 翟文广,曹晓东.一个二元丢番图不等式[J].数学进展,2003,32(6):706-721. |
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| 作者姓名： | 翟文广 曹晓东 |
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| 作者单位： | 1. 山东师范大学数学系,济南,山东,250014,中国
2. 北京石油化工学院数理部,北京,102600,中国 |
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| 基金项目： | This work is sunpported by the National Natural Science Foundation(No.19801021)，National Natural Science foundation of Shandong Province(Grand No.Q98A02110) |
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| 摘 要： | 本文证明了如果1
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| 关 键 词： | 丢番图不等式 可解性 素数 正整数 |
On a Binary Diophantine Inequality |
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| ZHAI Wen-guang,CAO Xiao-dong.On a Binary Diophantine Inequality[J].Advances in Mathematics,2003,32(6):706-721. |
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| Authors: | ZHAI Wen-guang CAO Xiao-dong |
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| Abstract: | In this paper we prove that if 1 ＜ c ＜ 43/36,then the Diopantine inequality |Pc1 +pc2 - N| ＜ N1-43/36c is solvable in prime numbers P1 and p2 for "almost all" N ＞ 0, which improves Laporta's range 1 ＜ c ＜ 15/14. For sufficiently large N, we also investigate the solvable of the Diophantine inequality |pc + Pck - N| ＜ e in a prime p and a positive integer Pk with at most k prime factors. |
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| Keywords: | Diophantine inequality prime number exponential sum |
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