Lame equation, quantum top and elliptic Bernoulli polynomials.

2005-11-10T11:12:53Z (GMT) by Marie-Pierre J.E. Grosset A.P. Veselov
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 Lame operator.