Elliptic Faulhaber polynomials and Lam\'e densities of states
Mathematical Physics
2007-05-23 v1 General Mathematics
math.MP
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 Lam\'e operators.
Cite
@article{arxiv.math-ph/0508066,
title = {Elliptic Faulhaber polynomials and Lam\'e densities of states},
author = {M. -P. Grosset and A. P. Veselov},
journal= {arXiv preprint arXiv:math-ph/0508066},
year = {2007}
}
Comments
22 pages, 1 figure