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.

arXiv comment22 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 (4)

• Resurgence and the Nekrasov-Shatashvili Limit: Connecting Weak and Strong Coupling in the Mathieu and Lam'e Systems
• Classical torus conformal block, N=2* twisted superpotential and the accessory parameter of Lame equation
• Quantum mass correction for the twisted kink
• Lamé equation, quantum top and elliptic Bernoulli polynomials