paper

On the constants in Mertens' theorems for primes in arithmetic progressions

arXiv:2306.09981

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.

13 pages, comments welcome! To appear in the Proceedings of the Integers Conference 2023