Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 262-03. Sharp one-dimensional Lieb–Thirring constants
Manuscript map · lines 7675–7684
OpenAI@2026-10-07#rem:oai-p-262-03
Authors: OpenAI. Family 262.
Title: Sharp one-dimensional Lieb–Thirring constants.
Abstract: 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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- section: Manuscript map
- remark: Remark: 001-01. Milne's rationality conjecture for abelian varieties
- remark: Remark: 002-01. Exact Birch–Swinnerton-Dyer Formula from Low Selmer Corank
- remark: Remark: 002-02. The Selmer converse for elliptic curves at every prime
- remark: Remark: 002-03. The two-primary Birch–Swinnerton-Dyer formula in Selmer corank at most one
- remark: Remark: 003-01. The Quasi-Riemann Hypothesis: A Zero-Free Half-Plane s 7/8
- remark: Remark: 003-02. The Quasi-Riemann Hypothesis (alternate 11/12 proof)
- remark: Remark: 003-03. Uniform exclusion of Landau–Siegel zeros