L'algèbre des polylogarithmes par les séries génératrices


Generalized polylogarithms are defined as iterated integrals with respect to the two differential forms and . We compute the polylogarithms in from their values in for every transformation belonging to the group generated by the two transformations and . These formulæ utilize a certain series in non commutative variables which turns out to be the series of Drinfel'd.

Authors: Hoang Ngoc Minh, Michel Petitot, Joris van der Hoeven

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