On primes in special sequences with applications to Carmichael numbers
Number Theory
2025-02-11 v2
Abstract
By involving some exponential sums related to in arithmetic progression, we can obtain some new results for von Mangoldt function over {\bf nonhomogeneous} Beatty sequences in arithmetic progressions, which improve some recent results of Banks-Yeager unconditionally. On the other hand, we also considered the primes over Piatetski-Shapiro sequences in arithmetic progressions, which gives a continuous improvement of the results of \cite{BBB}. These results can be used to improve some results related to the Carmichael numbers.
Keywords
Cite
@article{arxiv.2207.02378,
title = {On primes in special sequences with applications to Carmichael numbers},
author = {Wei Zhang},
journal= {arXiv preprint arXiv:2207.02378},
year = {2025}
}