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

Published 21 Jan 2021 in math.NT | (2101.08610v1)

Abstract: 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.

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Authors (1)

Matteo Bordignon

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