A study on multiple zeta values from the viewpoint of zeta-functions of root systems

DOI10.7169/facm/2014.51.1.3zbMath1357.11080arXiv1205.0182OpenAlexW3102484371MaRDI QIDQ466150

Kohji Matsumoto, Yasushi Komori, Hirofumi Tsumura

Publication date: 24 October 2014

Published in: Functiones et Approximatio. Commentarii Mathematici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0182

zbMATH Keywords

root systemsmultiple zeta valuesWitten zeta-functionsRiemann's zeta-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (10)

On restricted sum formulas for multiple zeta values with even arguments ⋮ The parity theorem for multiple polylogarithms ⋮ ON THE PARITY RESULT FOR MULTIPLE DIRICHLET SERIES ⋮ Zeta-functions of root systems and Poincaré polynomials of Weyl groups ⋮ On multiple zeta values of even arguments ⋮ Sum formulas of multiple zeta values with even arguments and polynomial weights ⋮ An overview and supplements to the theory of functional relations for zeta-functions of root systems ⋮ Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces ⋮ Weighted sum formulas of multiple \(t\)-values with even arguments ⋮ Some relations deduced from regularized double shuffle relations of multiple zeta values

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