EXTENDED DOUBLE SHUFFLE RELATIONS AND THE GENERATING FUNCTION OF TRIPLE ZETA VALUES OF ANY FIXED WEIGHT

DOI10.2206/kyushujm.67.281zbMath1318.11111arXiv1204.4085OpenAlexW2090370662MaRDI QIDQ2864701

Tomoya Machide

Publication date: 26 November 2013

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.4085

zbMATH Keywords

sum formulamultiple zeta valuemultiple polylogarithmextended double shuffle relationtriple zeta value

Mathematics Subject Classification ID

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

Related Items (12)

Some identities for multiple Hurwitz zeta values ⋮ Duality of Weighted Sum Formulas of Alternating Multiple $T$-Values ⋮ On sum formulas for Mordell-Tornheim zeta values ⋮ On the behavior of multiple zeta-functions with identical arguments on the real line ⋮ A generating function to generalize the sum formula for quadruple zeta values ⋮ Alternating multiple \(T\)-values: weighted sums, duality, and dimension conjecture ⋮ On multiple zeta values of even arguments ⋮ A study on multiple zeta values from the viewpoint of zeta-functions of root systems ⋮ On multiple zeta values of level two ⋮ Some identities for multiple alternating zeta values ⋮ Proof of Kaneko–Tsumura conjecture on triple T-values ⋮ New families of weighted sum formulas for multiple zeta values

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