| 4个素数平方及若干2的次幂和的丢番图逼近} |
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| 引用本文： | 刘志新,孙海伟. 4个素数平方及若干2的次幂和的丢番图逼近}[J]. 数学年刊A辑(中文版), 2013, 34(5): 599-608 |
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| 作者姓名： | 刘志新 孙海伟 |
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| 作者单位： | 天津大学理学院数学系, 天津 300072.;山东大学(威海)数学与统计学院, 山东 威海 264209. |
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| 基金项目： | 教育部博士点基金 (No.20120131120075) |
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| 摘 要： | 证明了在一定条件下, 不等式$|lambda_1p_1^2+lambda_2p_2^2+lambda_3p_3^2+lambda_4p_4^2+mu_12^{m_1}+cdots+mu_s2^{m_s}+varpi|
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| 关 键 词： | 丢番图不等式 圆法 Goldbach型问题 |
Diophantine Approximation with 4 Squares of Primes and Powers of 2 |
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| LIU Zhixin and SUN Haiwei. Diophantine Approximation with 4 Squares of Primes and Powers of 2[J]. Chinese Annals of Mathematics, 2013, 34(5): 599-608 |
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| Authors: | LIU Zhixin and SUN Haiwei |
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| Affiliation: | Department of Mathematics, School of Science, Tianjin University, Tianjin 300072, China.;School of Mathematics and Statistics, Shandong University, Weihai 264209, Shandong, China. |
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| Abstract: | The authors prove that under certain conditions, theinequality$|lambda_1p_1^2+lambda_2p_2^2+lambda_3p_3^2+lambda_4p_4^2+mu_12^{m_1}+cdots+mu_s2^{m_s}+varpi|
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| Keywords: | Diophantine inequalities Circle method Goldbach-type problems |
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