Harmonic sums and polylogarithms at non-positive multi-indices
type: Item
instance of: scholarly article
title: Harmonic sums and polylogarithms at non-positive multi-indices
zbMATH Open document ID: 1405.11107
author: G. H. E Duchamp
author: V. Hoang Ngoc Minh
author: Quoc Ngo Hoan
published in: Journal of Symbolic Computation
publication date: 2017-06-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/1611.09683
Mathematics Subject Classification ID: 11M32
Mathematics Subject Classification ID: 11G55
Mathematics Subject Classification ID: 11M41
Mathematics Subject Classification ID: 33B30
zbMATH DE Number: 6725164
zbMATH Keywords: harmonic sums
zbMATH Keywords: polylogarithms
zbMATH Keywords: Bernoulli polynomials
zbMATH Keywords: multi-Eulerian polynomials
zbMATH Keywords: Bernoulli numbers
zbMATH Keywords: Eulerian numbers
MaRDI profile type: Publication
OpenAlex ID: W2550735010
arXiv ID: 1611.09683
cites work: Analytic continuation of multiple zeta-functions and their values at non-positive integers
cites work: Quantum field theory of partitions
cites work: Q5191310
cites work: Some canonical sequences of integers
cites work: (Pure) transcendence bases in \(\varphi\)-deformed shuffle bialgebras
cites work: Hopf algebras, renormalization and noncommutative geometry
cites work: Q3645914
cites work: Noncommutative algebra, multiple harmonic sums and applications in discrete probability
cites work: Harmonic sums and polylogarithms at negative multi-indices
cites work: Mathematical Renormalization in Quantum Electrodynamics via Noncommutative Generating Series
cites work: The Radiation Theories of Tomonaga, Schwinger, and Feynman
cites work: Combinatorial properties and effective analytic continuation of Hurwitz polyzetas and their analogous
cites work: Q5569065
cites work: Fonctionnelles causales non linéaires et indéterminées non commutatives
cites work: Théorie géométrique des polynômes eulériens
cites work: Multiple polylogarithms, cyclotomy and modular complexes
cites work: Renormalization of multiple zeta values
cites work: Summations of polylogarithms via Evaluation transform.
cites work: Dirichlet functions of order \(n\) and parameter \(t\)
cites work: Q4453460
cites work: On a conjecture by Pierre Cartier about a group of associators
cites work: Structure of polyzetas and Lyndon words
cites work: Symbolic integration of meromorphic differential systems via Dirichlet functions.
cites work: Combinatorial aspects of polylogarithms and Euler-Zagier sums
cites work: From the algebras of Riemann polyzetas to the algebra of Hurwitz polyzetas
cites work: Lyndon words, polylogarithms and the Riemann \(\zeta\) function
cites work: Derivation and double shuffle relations for multiple zeta values
cites work: Johann Faulhaber and Sums of Powers
cites work: Kontsevich’s integral for the Kauffman polynomial
cites work: Nested Sums of Symbols and Renormalized Multiple Zeta Values
cites work: Q4431757
cites work: Q3134850
cites work: Analytic continuation of multiple zeta functions
DOI: 10.1016/J.JSC.2016.11.010
description: scientific article