On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory
نویسنده
چکیده
A generating function is given for the number, E(l, k), of irreducible kfold Euler sums, with all possible alternations of sign, and exponents summing to l. Its form is remarkably simple: ∑ n E(k + 2n, k) x n = ∑ d|k μ(d) (1 − x)/k, where μ is the Möbius function. Equivalently, the size of the search space in which k-fold Euler sums of level l are reducible to rational linear combinations of irreducible basis terms is S(l, k) = ∑
منابع مشابه
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