Proof of Kaneko–Tsumura conjecture on triple T-values

DOI10.1142/S1793042123500239WikidataQ113776612 ScholiaQ113776612MaRDI QIDQ5877892

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Publication date: 16 February 2023

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

Full work available at URL: https://arxiv.org/abs/2011.02393

zbMATH Keywords

multiple zeta valueEuler sumweighted sum formulamultiple \(T\)-value

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Polylogarithms and relations with (K)-theory (11G55) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Cites Work

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• New families of weighted sum formulas for multiple zeta values
• Weighted sum formula for multiple zeta values
• Zeta stars
• Multiple harmonic series
• On multiple zeta values of level two
• A generating function to generalize the sum formula for quadruple zeta values
• Multiple Zeta Functions, Multiple Polylogarithms and Their Special Values
• EXTENDED DOUBLE SHUFFLE RELATIONS AND THE GENERATING FUNCTION OF TRIPLE ZETA VALUES OF ANY FIXED WEIGHT

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