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Elliptic Faulhaber polynomials and Lamé densities of states

M. -P. Grosset, A. P. Veselov

math-pharXiv:math-ph/0508066

Abstract

A generalisation of the Faulhaber polynomials and Bernoulli numbers related to elliptic curves is introduced and investigated. This is applied to compute the density of states for the classical Lamé operators.

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