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arXiv:2301.13457 [math.NT]AbstractReferencesReviewsResources

The prime number theorem for primes in arithmetic progressions under the Generalised Riemann Hypothesis

Ethan S. Lee

Published 2023-01-31Version 1

We assume the Generalised Riemann Hypothesis for Dirichlet $L$-functions $L(s,\chi)$ and establish explicit formulae for $\psi(x,\chi)$, $\theta(x,\chi)$, and an explicit version of the prime number theorem for primes in arithmetic progressions.

Comments: 12 pages, any comments are welcome!
Categories: math.NT
Subjects: 11N13, 11M26
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