English

Primes in arithmetic progressions to smooth moduli: A minorant version

Number Theory 2025-12-30 v3

Abstract

The author prove that there exists a function ρ(n)\rho(n) which is a minorant for the prime indicator function 1p(n)\mathbb{1}_{p}(n) and has distribution level 1019\frac{10}{19} in arithmetic progressions to smooth moduli. This refines the previous results of Baker--Irving and Stadlmann.

Cite

@article{arxiv.2505.09629,
  title  = {Primes in arithmetic progressions to smooth moduli: A minorant version},
  author = {Runbo Li},
  journal= {arXiv preprint arXiv:2505.09629},
  year   = {2025}
}

Comments

6 pages. Corrected an error in the proof

R2 v1 2026-06-28T23:33:27.482Z