Multiple polylogarithm values at roots of unity

DOI10.1016/j.crma.2008.09.011zbMath1168.11039arXiv0810.1064OpenAlexW2045847973MaRDI QIDQ952114

Jianqiang Zhao

Publication date: 6 November 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1064

zbMATH Keywords

polylogarithmsmultiple zeta valueslinear relations

Mathematics Subject Classification ID

Polylogarithms and relations with (K)-theory (11G55) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Bachmann-Kühn's brackets and multiple zeta values at level \(N\) ⋮ Dirichlet type extensions of Euler sums ⋮ Finite and symmetrized colored multiple zeta values ⋮ Analytic properties of multiple Dirichlet series associated to additive and Dirichlet characters ⋮ ALTERNATING EULER SUMS AND SPECIAL VALUES OF THE WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO ⋮ MULTI-POLYLOGS AT TWELFTH ROOTS OF UNITY AND SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO THE EXCEPTIONAL LIE ALGEBRA 𝔤₂ ⋮ Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes

Cites Work

• Unnamed Item
• Numerical evaluation of multiple polylogarithms
• Standard relations of multiple polylogarithm values at roots of unity
• The dihedral Lie algebras and Galois symmetries of \(\pi_1^{(l)}(\mathbb P^1-(\{0,\infty\}\cup\mu-\{N\}))\).
• Double shuffles of multiple polylogarithms at roots of unity
• Groupes fondamentaux motiviques de Tate mixte

This page was built for publication: Multiple polylogarithm values at roots of unity