Dimer lambda3 = .453 +/- .001 and Some Other Very Intelligent Guesses

Abstract

Working with a presumed asymptotic series for lambdad developed in previous work, we make some intelligent guesses for lambdad 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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