Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 21 juin 2016 à 10h30 en B107, Van Chiên Bui nous parlera de : Asymptotic expansion of harmonic sums thanks to the Euler-Maclaurin formula and to generating series

Résumé : On the one hand, asymptotic expansions of harmonic sums are constructed by following the Euler-Maclaurin formula. On the other hand, due to relations among polylogarithms, polyzetas, harmonic sums and their generating series, which are the Lie exponentials in the shuffle and quasi shuffle algebras, we will show structure of polylogarithms and polyzetas. From this, asymptotic expansions of harmonic sums will also establish by following generating series.

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