Harmonic sums and polylogarithms at non-positive multi-indices

DOI10.1016/j.jsc.2016.11.010zbMath1405.11107arXiv1611.09683OpenAlexW2550735010MaRDI QIDQ2628317

Gérard H. E. Duchamp, Quoc Ngo Hoan, V. Hoang Ngoc Minh

Publication date: 1 June 2017

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.09683

zbMATH Keywords

polylogarithmsBernoulli numbersEulerian numbersBernoulli polynomialsharmonic sumsmulti-Eulerian polynomials

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Polylogarithms and relations with (K)-theory (11G55) Higher logarithm functions (33B30) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (8)

FINITE MULTIPLE ZETA VALUES, MULTIPLE ZETA FUNCTIONS AND MULTIPLE BERNOULLI POLYNOMIALS ⋮ Towards a theory of domains for harmonic functions and its symbolic counterpart ⋮ (Pure) transcendence bases in \(\varphi\)-deformed shuffle bialgebras ⋮ Matrix representations for multiplicative nested sums ⋮ Analytic continuation for multiple zeta values using symbolic representations ⋮ On the solutions of the universal differential equation with three regular singularities (on solutions of \(KZ_3)\) ⋮ Kleene stars of the plane, polylogarithms and symmetries ⋮ Harmonic sums and polylogarithms at negative multi-indices

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