Christian Costermans, Jean-Yves Enjalbert, V. H. N. Minh, M. Petitot
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引用次数: 28
Abstract
We prove that the algebra of multiple harmonic sums is isomorphic to a shuffle algebra. So the multiple harmonic sums Hs, indexed by the compositions s=(s1,...,sr), are ℝ-linearly independent as real functions defined over ℕ. We deduce then the algorithm to obtain the asymptotic expansion of multiple harmonic sums.
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