{"id":"openai-math/Sharp-One-Dimensional-Lieb-Thirring-Constants","pdf":"https://github.com/openai/math/blob/main/preprints/Sharp-One-Dimensional-Lieb-Thirring-Constants-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Sharp-One-Dimensional-Lieb-Thirring-Constants-September-23-2026","tags":["mathematical-physics","spectral-theory","inequalities"],"score":0,"title":"Sharp one-dimensional Lieb–Thirring constants","domain":"Mathematical physics","family":"262","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.MP","summary":"We resolve affirmatively the remaining cases of the scalar one-dimensional Lieb–Thirring conjecture: for every $`\\frac12\\lt \\gamma\\lt \\frac32`$, the optimal constant is the one-bound-state constant. The estimate holds for every nonnegative potential in $`L^{\\gamma+1/2}(\\mathbb R)`$, with all negative eigenvalues included.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":true,"family_title":"Sharp finite-matrix Lieb–Thirring inequalities and all equality cases"}