Sum formulas and duality theorems of multiple zeta values

DOI10.1016/j.jnt.2015.06.014zbMath1381.40011OpenAlexW1103937139MaRDI QIDQ495271

Chan-Liang Chung, Minking Eie, Kwang-Wu Chen

Publication date: 9 September 2015

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.06.014

zbMATH Keywords

duality theoremsmultiple zeta valuessum formulas

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other functions defined by series and integrals (33E20) Multiple sequences and series (40B05) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (7)

Sum relations from shuffle products of alternating multiple zeta values ⋮ On three general forms of multiple zeta(-star) values ⋮ Generalized harmonic numbers and Euler sums ⋮ Identities for the multiple zeta (star) values ⋮ Multiple zeta values and Euler sums ⋮ Explicit formulas of some mixed Euler sums via alternating multiple zeta values ⋮ Weighted sum formulas from shuffle products of multiple zeta-star values

Cites Work

• A short proof for the sum formula and its generalization
• A restricted sum formula among multiple zeta values
• A generalization of the duality and sum formulas on the multiple zeta values
• The Theory of Multiple Zeta Values with Applications in Combinatorics
• Special values of multiple polylogarithms
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Sum formulas and duality theorems of multiple zeta values