On the constants in Mertens' theorems for primes in arithmetic progressions
Number Theory
2024-05-27 v2
Abstract
A 1976 result from Norton may be used to give an asymptotic (but not explicit) description of the constant in Mertens' second theorem for primes in arithmetic progressions. Assuming the Generalized Riemann Hypothesis, we give an effective description of Norton's observation.
Keywords
Cite
@article{arxiv.2306.09981,
title = {On the constants in Mertens' theorems for primes in arithmetic progressions},
author = {Daniel Keliher and Ethan Simpson Lee},
journal= {arXiv preprint arXiv:2306.09981},
year = {2024}
}
Comments
13 pages, comments welcome! To appear in the Proceedings of the Integers Conference 2023