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arXiv · 2306.09981

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

Daniel Keliher·Ethan Simpson Lee
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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.

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Daniel Keliher, Ethan Simpson Lee. 2024-05-24. On the constants in Mertens' theorems for primes in arithmetic progressions. https://arxiv.org/abs/2306.09981

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