| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4945904 | Journal of Symbolic Computation | 2017 | 28 Pages |
Abstract
Extending Eulerian polynomials and Faulhaber's formula,1we study several combinatorial aspects of harmonic sums and polylogarithms at non-positive 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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Physical Sciences and Engineering
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Authors
G.H.E. Duchamp, V. Hoang Ngoc Minh, Ngo Quoc Hoan,