Lamé equation, quantum top and elliptic Bernoulli polynomials

Abstract

A generalisation of the odd Bernoulli polynomials related to the quantum Euler top is introduced and investigated. This is applied to compute the coefficients of the spectral polynomials for the classical Lamé operator.

Slightly revised version. 14 pages, 1 figure

References in corpus (4)

• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• Elliptic Faulhaber polynomials and Lamé densities of states
• Theory of The Generalized Bernoulli-Hurwitz Numbers for The Algebraic Functions of Cyclotomic Type and The Universal Bernoulli Numbers
• On eigenvalues of Lamé operator

Cited by in corpus (2)

• Critical measures, quadratic differentials, and weak limits of zeros of Stieltjes polynomials
• Interlacing and asymptotic properties of Stieltjes polynomials