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

Matteo Bordignon

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arXiv · 2101.08610

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

Matteo Bordignon

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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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BibTeX RIS

Matteo Bordignon. 2021-01-21. Medium-sized values for the Prime Number Theorem for primes in arithmetic progression. https://arxiv.org/abs/2101.08610

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