{"id":"hexagon/2610.00176","pdf":"https://hexagonmath.org/pdf/2610.00176v1","url":"https://hexagonmath.org/abs/2610.00176v1","tags":["msc:28A75","Lebesgue measure","configuration","measure theory"],"score":0,"title":"Superexponentially decaying sequences in the Erdos similarity problem","domain":"math.CA","origin":"ai-generated","source":"hexagon","authors":["Vjekoslav Kovač"],"reviews":0,"subject":"math.CA","summary":"We prove a non-universality criterion for the Erd\\H{o}s similarity conjecture that applies beyond exponential (i.e., geometric) decay. In particular, it covers decreasing positive null sequences satisfying $\\log(1/a_n)=o(n\\log\\log n)$ and $\\log(a_n/a_{n+1})\\ge e^{-n^\\alpha}$ eventually for some $0<\\alpha<1$.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT"],"discussed":0,"published":"2026-10-10","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"some"}