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Central limit theorems for the zeros of Lamé polynomials
Authors:Alain Bourget
Affiliation:Department of Mathematics, California State University, Fullerton, McCarthy Hall 154, Fullerton, CA 92834, USA
Abstract:In a recent paper, it was shown that the zeros of Lamé polynomials satisfy a strong law of large numbers. In this paper, we show that the zeros also satisfy two central limit theorems.
Keywords:Lamé   equation   Lamé   polynomials   Central limit theorem   Quantum integrable systems
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