{"id":"hexagon/2610.00696","pdf":"https://hexagonmath.org/pdf/2610.00696v1","url":"https://hexagonmath.org/abs/2610.00696v1","tags":["msc:30H20","msc:30C80","msc:30C85","Bergman space","Korenblum's maximum principle","annular Green function","contact moments","interval certificates","outer functions"],"score":0,"title":"A contact and coefficient correction for Korenblum's constant","domain":"math.CV","origin":"ai-generated","source":"hexagon","authors":["Ricardo Pinho"],"reviews":0,"subject":"math.CV","summary":"Retaining an angular deficit in an annular coefficient estimate gives $C_{68}\\ge0.44667$ for Korenblum's constant in the unweighted Bergman space. The flux input is David Niedbala Giraudin's. A contact-moment estimate and an even outer factor retain a correction involving the first two coefficients; a rational measure then satisfies the modified moment conditions. The argument builds on Wang's coefficient approach and Wikström's moment integration. This note is unrefereed, with no independent human review or formalization.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-31","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}