Medium-sized values for the Prime Number Theorem for primes in arithmetic progression

Matteo Bordignon

Published 2021-01-21Version 1

We give two improved explicit versions of the prime number theorem for primes in arithmetic progression: the first isolating the contribution of the Siegel zero and the second completely explicit, where the improvement is for medium-sized values. This will give an improved explicit Bombieri-Vinogradov like result for non-exceptional moduli.