Elliptic Faulhaber polynomials and Lamé densities of states

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.

22 pages, 1 figure

References in corpus (2)

• 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 (1)

• Lamé equation, quantum top and elliptic Bernoulli polynomials