On an approximation by Vaughan in restricted sets of arithmetic progressions
Number Theory
2022-01-31 v1
Abstract
We investigate the approximation to the number of primes in arithmetic progressions given by Vaughan. Instead of averaging the expected error term over all residue classes to modules in a given range, here we only consider subsets of arithmetic progressions that satisfy additional congruence conditions and provide asymptotic approximations.
Keywords
Cite
@article{arxiv.2201.11946,
title = {On an approximation by Vaughan in restricted sets of arithmetic progressions},
author = {Claus Bauer},
journal= {arXiv preprint arXiv:2201.11946},
year = {2022}
}