Prime numbers of the form [nc]
Prime numbers of the form [nc]
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DOI：
10.1017/s0017089501020080
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发表时间：
2001-05
影响因子：
0.5
通讯作者：
J. Rivat;J. Wu
中科院分区：
文献类型：
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作者：
J. Rivat;J. Wu
在1953年，Pjateckii E-S apiro证明了有无穷多个素数的形式[n^c]，其中1 [小于] c [小于] {12\over11}（并有一个渐近结果）。这个范围，衡量我们的指数和技术的进展，已被许多作者改进。在本文中，我们得到1 [小于] c\leq{243\over205}。
In 1953, Pjateckii˘-S˘apiro has proved that there are infinitely many primes of the form [n^c] for 1 [less than] c [less than] {12\over11} (with an asymptotic result). This range, which measures our progress in the technique of exponential sums, has been improved by many authors. In this paper we obtain 1 [less than] c\leq{243\over205}.