| 一个混合幂为2和4的丢番图不等式 |
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| 引用本文： | 龚克,李伟平.一个混合幂为2和4的丢番图不等式[J].数学季刊,2008,23(1):1-7. |
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| 作者姓名： | 龚克 李伟平 |
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| 作者单位： | GONG Ke（Department of Mathematics,Tongji University,Shanghai 200092,China）
LI Wei-ping（College of Information,Henan University of Finance and Economics,ghengzhou 450002,China） |
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| 摘 要： | In this paper,it is shown that:if λ1,..,λ8 are nonzero real numbers,not all of the same sign,such that λ1/λ2 is irrational,then for any real numbex,η and ε＞0 the inequality,|λ1x21 λ2x22 λ3x43 … λ8x48 η|＜ε has infinitely many solutions in positive integers x1,…,x8.
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| 关 键 词： | Diophantine inequality mixed powers circle method 混合幂 丢番图不等式 Mixed Powers Diophantine Inequality infinitely many solutions positive integers inequality sign real numbers paper |
| 文章编号： | 1002-0462(2008)01-0001-07 |
| 修稿时间： | 2004年6月4日 |
One Additive Diophantine Inequality with Mixed Powers 2 and 4 |
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| GONG Ke LI Wei-ping.One Additive Diophantine Inequality with Mixed Powers 2 and 4[J].Chinese Quarterly Journal of Mathematics,2008,23(1):1-7. |
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| Authors: | GONG Ke LI Wei-ping |
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| Institution: | [1]Department of Mathematics, Tongji University, Shanghai 200092, China [2]College of Information,Henan University of Finance and Economics, Zhengzhou 450002, China |
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| Abstract: | |
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| Keywords: | Diophantine inequality mixed powers circle method |
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