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arXiv · 2505.09629

Primes in arithmetic progressions to smooth moduli: A minorant version

Runbo Li
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Abstract

The author prove that there exists a function $\rho(n)$ which is a minorant for the prime indicator function $\mathbb{1}_{p}(n)$ and has distribution level $\frac{10}{19}$ in arithmetic progressions to smooth moduli. This refines the previous results of Baker--Irving and Stadlmann.

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Runbo Li. 2025-04-30. Primes in arithmetic progressions to smooth moduli: A minorant version. https://arxiv.org/abs/2505.09629

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