On a Diophantine Inequality Involving Prime Numbers (Ⅲ)
On a Diophantine Inequality Involving Prime Numbers (Ⅲ)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.