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quantum top

Proceedings of the Edinburgh Mathematical Society (1)

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Lamé Equation, Quantum Euler Top and Elliptic Bernoulli Polynomials
M.-P. Grosset, A. P. Veselov
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 51 / Issue 3 / October 2008

Published online by Cambridge University Press:

12 December 2008, pp. 635-650
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A generalization of the odd Bernoulli polynomials related to the quantum Euler top is introduced and investigated. This is applied in order to compute the coefficients of the spectral polynomials for the classical Lamé operator.