ON GENERALIZATIONS OF WEIGHTED SUM FORMULAS OF MULTIPLE ZETA VALUES

DOI10.1142/S179304211350019XzbMath1271.11087OpenAlexW2143624881MaRDI QIDQ2840296

Wen-Chin Liaw, Yao Lin Ong, Minking Eie

Publication date: 17 July 2013

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

Full work available at URL: https://doi.org/10.1142/s179304211350019x

zbMATH Keywords

sum formulamultiple zeta valueshuffle relationweighted sum formula

Mathematics Subject Classification ID

Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (9)

A generating function to generalize the sum formula for quadruple zeta values ⋮ Sum formulas of multiple zeta values with even arguments and polynomial weights ⋮ Weighted sum formulas from shuffle products of multiples of Riemann zeta values ⋮ The decomposition theorem of products of multiple zeta values of height one ⋮ Weighted sum formulas for finite multiple zeta values ⋮ Weighted sum formula for multiple harmonic sums modulo primes ⋮ On the convolutions of sums of multiple zeta(-star) values of height one ⋮ Weighted sum formulas from shuffle products of multiple zeta-star values ⋮ Double weighted sum formulas of multiple zeta values

Cites Work

• Weighted sum formula for multiple zeta values
• Zeta stars
• A short proof for the sum formula and its generalization
• A restricted sum formula among multiple zeta values
• Sums of triple harmonic series
• Multiple harmonic series
• A generalization of the duality and sum formulas on the multiple zeta values
• Triple sums and the Riemann zeta function
• EXPLICIT EVALUATION OF TRIPLE EULER SUMS
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Special values of multiple polylogarithms
• THIRTY-TWO GOLDBACH VARIATIONS
• Derivation and double shuffle relations for multiple zeta values

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