On almost primes in Piatetski-Shapiro sequences
Number Theory
2025-05-16 v1
Abstract
The author proves that for , there exist infinitely many primes such that has at most 5 prime factors counted with multiplicity. This gives an improvement upon the previous results of Banks-Guo-Shparlinski and Xue-Li-Zhang.
Cite
@article{arxiv.2505.09634,
title = {On almost primes in Piatetski-Shapiro sequences},
author = {Runbo Li},
journal= {arXiv preprint arXiv:2505.09634},
year = {2025}
}
Comments
8 pages