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Lamé Equation, Quantum Euler Top and Elliptic Bernoulli Polynomials

Published online by Cambridge University Press:  12 December 2008

M.-P. Grosset  and
A. P. Veselov
M.-P. Grosset
Affiliation:
Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK (m.grosset@lboro.ac.uk)
A. P. Veselov
Affiliation:
Department of Mathematical Sciences, Loughborough University, Loughborough LE11 3TU, UK (m.grosset@lboro.ac.uk) Landau Institute for Theoretical Physics, ul. Kosygina 2, Moscow 119334, Russia (a.p.veselov@lboro.ac.uk)
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Abstract

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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.

Keywords

Lamé equationquantum topBernoulli polynomials
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 51 , Issue 3 , October 2008 , pp. 635 - 650
Copyright
Copyright © Edinburgh Mathematical Society 2008