On a Diophantine inequality over primes
On a Diophantine inequality over primes
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DOI：
10.1016/j.jnt.2019.01.008
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发表时间：
2019-09
影响因子：
0.7
通讯作者：
Min Zhang;Jinjia Li
中科院分区：
文献类型：
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作者：
Min Zhang;Jinjia Li
设N是一个充分大的真实的数。本文证明了当1< c< 6/5时，丢番图不等式|p 1 c+ p 2 c+ p 3 c+ p 4 c− N| < log− 1 <$N在素数p 1，p 2，p 3，p 4中可解。该结果构成了对Mu（2015）[15]的范围1< c< 97/81的改进。
Let N be a sufficiently large real number. In this paper, it is proved that for 1< c< 6/5, the Diophantine inequality| p 1 c+ p 2 c+ p 3 c+ p 4 c− N|< log− 1 N is solvable in prime numbers p 1, p 2, p 3, p 4. This result constitutes an improvement upon that of Mu (2015)[15] for the range 1< c< 97/81.