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arxiv: math-ph/0508066 · v1 · submitted 2005-08-31 · 🧮 math-ph · math.GM· math.MP

Elliptic Faulhaber polynomials and Lam\'e densities of states

classification 🧮 math-ph math.GMmath.MP
keywords ellipticfaulhaberpolynomialsstatesappliedbernoulliclassicalcompute
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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.

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