Central limit theorems for the zeros of Lamé polynomials |
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Authors: | Alain Bourget |
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Affiliation: | Department of Mathematics, California State University, Fullerton, McCarthy Hall 154, Fullerton, CA 92834, USA |
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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. |
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Keywords: | Lamé equation Lamé polynomials Central limit theorem Quantum integrable systems |
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