English

Dimer lambda_3 = .453 +/- .001 and Some Other Very Intelligent Guesses

Mathematical Physics 2008-05-30 v1 Statistical Mechanics math.MP

Abstract

Working with a presumed asymptotic series for lambda_d developed in previous work, we make some intelligent guesses for lambda_d with d=3, 4, 5; and estimates for the corresponding errors. We present arguments in favor of these guesses, we earnestly believe they will turn out to be correct. Such approximate values may help stimulate people working on rigorous bounds. In addition to suggesting bounds to prove, there will be the strong motivation to prove me wrong.

Cite

@article{arxiv.0805.1195,
  title  = {Dimer lambda_3 = .453 +/- .001 and Some Other Very Intelligent Guesses},
  author = {Paul Federbush},
  journal= {arXiv preprint arXiv:0805.1195},
  year   = {2008}
}

Comments

4 pages

R2 v1 2026-06-21T10:38:39.976Z