WEIGHTED SUMS WITH TWO PARAMETERS OF MULTIPLE ZETA VALUES AND THEIR FORMULAS

DOI10.1142/S1793042112501084zbMath1287.11106arXiv1112.2554OpenAlexW3104421849MaRDI QIDQ3165308

Tomoya Machide

Publication date: 26 October 2012

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

Full work available at URL: https://arxiv.org/abs/1112.2554

zbMATH Keywords

multiple zeta valueweighted sum formulamultiple polylogarithmparametrized sum formula

Mathematics Subject Classification ID

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

Related Items (3)

A generating function to generalize the sum formula for quadruple zeta values ⋮ Fourier series of modular graph functions ⋮ New families of weighted sum formulas for multiple zeta values

Cites Work

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• Mixed Tate motives and multiple zeta values
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• Groupes fondamentaux motiviques de Tate mixte
• ON A KIND OF DUALITY OF MULTIPLE ZETA-STAR VALUES
• ON THE DUALITY FOR MULTIPLE ZETA-STAR VALUES OF HEIGHT ONE
• Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
• Derivation and double shuffle relations for multiple zeta values

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