{"id":"openai-math/An-L3-bound-for-the-trilinear-Hilbert-transform","pdf":"https://github.com/openai/math/blob/main/preprints/An-L3-bound-for-the-trilinear-Hilbert-transform-October-5-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/An-L3-bound-for-the-trilinear-Hilbert-transform-October-5-2026","tags":["harmonic-analysis","trilinear-hilbert-transform"],"score":0,"title":"An L 3 bound for the trilinear Hilbert transform","domain":"Real and complex analysis","family":"086","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.CA","summary":"We prove that the trilinear Hilbert transform with fixed slopes 1, 2, 3 maps $`L^3(\\mathbb R)\\times L^3(\\mathbb R)\\times L^3(\\mathbb R)`$ to $`L^1(\\mathbb R)`$, resolving this case of the trilinear Hilbert transform conjecture.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":1,"published":"2026-10-05","reactions":{},"discussion":[{"url":"https://arxiv.org/abs/2610.18089","date":"2026-10-13","kind":"web","site":"arXiv.org","text":"AI has become increasingly helpful in scientific discovery, yet human expert review remains essential for those problems without reliable automated evaluation, posing a fundamental challenge as candidate generation scales beyond available review capacity. This paper studies verification under…","added":"2026-10-24","title":"One-Sided Verification Under Limited Expert Review","author":"Fan Nie, Haotian Ye, Shurui Liu, Zihao Wang et al."}],"formalized":false,"family_title":"An L 3 bound for the trilinear Hilbert transform"}