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

Anne-Maria Ernvall-Hytönen; Neea Palojärvi

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arXiv · 2003.01925

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

Anne-Maria Ernvall-Hytönen·Neea Palojärvi

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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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Anne-Maria Ernvall-Hytönen, Neea Palojärvi. 2020-03-04. Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis. https://arxiv.org/abs/2003.01925

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