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On a Diophantine Inequality Involving Prime Numbers (Ⅲ)

On a Diophantine Inequality Involving Prime Numbers (Ⅲ)

作     者:Yingchun Cai Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China 

作者机构:Department of Mathematics Shanghai University Shanghai P. R. China 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:1999年第15卷第3期

页      面:387-394页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Project supported by the National Natural Science Foundation of China (grant: 19801021) and by MCSEC 

主  题:Prime Inequality Exponential sum 

摘      要:Let 10 such that for each real number NN(c) the inequality |p1c+p2c+p3c-N|-(1/c)(11/10-c)logc1 N is solvable in prime numbers p1, p2, p3, where c1 is some absolute positive constant.

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