Piatetski-Shapiro primes in arithmetic progressions
Piatetski-Shapiro primes in arithmetic progressions
复制标题
DOI：
10.1007/s11139-022-00636-7
复制
发表时间：
2022-09
期刊：
影响因子：
--
通讯作者：
Victor Z. Guo;Jinjia Li;M. Zhang
中科院分区：
文献类型：
--
作者：
Victor Z. Guo;Jinjia Li;M. Zhang
设为Piatetski-Shapiro序列。本文证明了的算术级数中存在无穷多个Piatetski-Shapiro素数。此外，我们还证明了存在无穷多个完全由Piatetski-Shapiro序列的素数组成的Carmichael数。这两个定理构成了对Baker等人以前结果的改进。(《学报》157(1)：37-68,2013)。
Letbe the Piatetski-Shapiro sequences. In this paper, it is proved that there exist infinitely many Piatetski-Shapiro primes in arithmetic progressions for. Moreover, we also prove that there exist infinitely many Carmichael numbers composed entirely of primes from Piatetski-Shapiro sequences for. These two theorems constitute improvements upon the previous results of Baker et al. (Acta Arith 157(1):37–68, 2013).