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.
Publié le : 2005-08-31
Classification:
Mathematical Physics,
Mathematics - General Mathematics,
11B83, 33E05
@article{0508066,
author = {Grosset, M. -P. and Veselov, A. P.},
title = {Elliptic Faulhaber polynomials and Lam\'e densities of states},
journal = {arXiv},
volume = {2005},
number = {0},
year = {2005},
language = {en},
url = {http://dml.mathdoc.fr/item/0508066}
}
Grosset, M. -P.; Veselov, A. P. Elliptic Faulhaber polynomials and Lam\'e densities of states. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0508066/