Harmonic sums and polylogarithms at non-positive multi-indices
Speaker: Ngo Quoc Hoan

Time: 9h00, Wednesday, June 7, 2017
Location: Room 6, Building A14, Institute of Mathematics, 18 Hoang Quoc Viet, Cau Giay, Hanoi
Abstract: This is a joint work with Gérard H. E. Duchamp (Paris XIII Univ.) and Hoang Ngoc Minh (Lille II Univ.). Extending Eulerian polynomials and Faulhaber's formula, we study several combinatorial aspects of multi-indexed harmonic sums and polylogarithms at nonpositive multi-indices as well as their structure. Our techniques are based on the combinatorics of noncommutative generating series in the shuffle Hopf algebras giving a global process to renormalize the divergent polyzetas at non-positive multi-indices.

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