A Generalization of Piatetski–Shapiro Sequences
A Generalization of Piatetski–Shapiro Sequences
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DOI：
10.11650/tjm/210802
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发表时间：
2022
影响因子：
0.4
通讯作者：
祁瑾云
中科院分区：
文献类型：
--
作者：
Victor Zhenyu Guo;祁瑾云
We consider a generalization of Piatetski–Shapiro sequences in the sense.of Beatty sequences, which is of the form (b αnc + βc )∞.n=1 with real numbers α ≥ 1,.c > 1 and β. We show there are infinitely many primes in the generalized Piatetski–.Shapiro sequence with c ∈ (1, 14/13). Moreover, we prove there are infinitely many.Carmichael numbers composed entirely of the primes from the generalized Piatetski–.Shapiro sequences with c ∈ (1, 64/63)
