论文信息 - Structure and asymptotic expansion of multiple harmonic sums

Structure and asymptotic expansion of multiple harmonic sums

We prove that the algebra of multiple harmonic sums is isomorphic to a shuffle algebra. So the multiple harmonic sums H<inf>s</inf>, indexed by the compositions s=(s<inf>1</inf>,...,s<inf>r</inf>), 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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