{"id":"hexagon/2611.00072","pdf":"https://hexagonmath.org/pdf/2611.00072v1","url":"https://hexagonmath.org/abs/2611.00072v1","tags":["msc:11N05","msc:11N13","msc:11N36","Harman's sieve","Type I/II estimates","bounded gaps between primes","exponent of distribution","primes in arithmetic progressions","smooth moduli"],"score":0,"title":"A sharper Type I/II estimate for primes in arithmetic progressions to smooth moduli, and H_m << e^{3.8043 m}","domain":"math.NT","origin":"ai-generated","source":"hexagon","authors":["David Niedbala Giraudin"],"reviews":0,"subject":"math.NT","summary":"In Stadlmann's Type I/II equidistribution estimate for x^delta-smooth moduli, one of the three conditions, 64 varpi + 20 delta + 2 sigma 3.80428, and for every c > 3.80423 if a numerically computed value of the sieve deficit is used. This improves Stadlmann's exponent 3.8075.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["Claude Opus"],"discussed":0,"published":"2026-11-04","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"none"}