Explicit bound for the number of primes in arithmetic progressions assuming the Generalized Riemann Hypothesis
4 Mar 2020
·
Anne-Maria Ernvall-Hytönen,
Neea Palojärvi·
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.