Another expression of the restricted sum formula of multiple zeta values

DOI10.1016/j.jnt.2016.02.014zbMath1412.11102OpenAlexW2329255561MaRDI QIDQ273484

Tung-Yang Lee, Minking Eie, Chan-Liang Chung

Publication date: 22 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2016.02.014

zbMATH Keywords

duality theoremsum formulamultiple zeta valuerestricted sum formula

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 (3)

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

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
• Evaluation of triple Euler sums
• The Theory of Multiple Zeta Values with Applications in Combinatorics
• Special values of multiple polylogarithms
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