摘要
Let 1【c【10/11. In the present paper it is proved that there exists a number N（c）】0 such that for each real number N】N（c） the inequality |p<sub>1</sub><sup>c</sup>+p<sub>2</sub><sup>c</sup>+p<sub>3</sub><sup>c</sup>-N|【N<sup>-（1/c）（11/10-c）</sup>log<sup>c<sub>1</sub></sup> N is solvable in prime numbers p<sub>1</sub>, p<sub>2</sub>, p<sub>3</sub>, where c<sub>1</sub> is some absolute positive constant.
Let 1<c<10/11. In the present paper it is proved that there exists a number N（c）>0 such that for each real number N>N（c） the inequality |p<sub>1</sub><sup>c</sup>+p<sub>2</sub><sup>c</sup>+p<sub>3</sub><sup>c</sup>-N|<N<sup>-（1/c）（11/10-c）</sup>log<sup>c<sub>1</sub></sup> N is solvable in prime numbers p<sub>1</sub>, p<sub>2</sub>, p<sub>3</sub>, where c<sub>1</sub> is some absolute positive constant.
基金
Project supported by the National Natural Science Foundation of China (grant: 19801021) and by MCSEC
