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

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

2008-05-08

arxiv.org/abs/0805.1195v1

Physics

Mathematical Physics

4 pages

Scientific paper

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.

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