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Équations différentielles motiviques et au–delà

About computer regularizations of divergent polyzetas

IHP, Paris

The use of commutative and noncommutative generating series allows to establish combinatorial algebraic and analytical aspects of polylogarithms and harmonic sums.
This gives also various regularizations by computer of divergent polyzetas leading to relations among convergent polyzetas and a Drinfeld's series with rational coefficients.