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Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis

Published 4 Mar 2020 in math.NT | (2003.01925v4)

Abstract: We prove an explicit error term for the $\psi(x,\chi)$ function assuming the Generalized Riemann Hypothesis. Using this estimate, we prove a conditional explicit bound for the number of primes in arithmetic progressions.

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