Medium-sized values for the Prime Number Theorem for primes in arithmetic progression
Number Theory
2021-01-22 v1
Abstract
We give two improved explicit versions of the prime number theorem for primes in arithmetic progression: the first isolating the contribution of the Siegel zero and the second completely explicit, where the improvement is for medium-sized values. This will give an improved explicit Bombieri-Vinogradov like result for non-exceptional moduli.
Cite
@article{arxiv.2101.08610,
title = {Medium-sized values for the Prime Number Theorem for primes in arithmetic progression},
author = {Matteo Bordignon},
journal= {arXiv preprint arXiv:2101.08610},
year = {2021}
}
Comments
21 pages