On Witten Multiple Zeta-Functions Associated with Semisimple Lie Algebras III

DOI10.1007/978-0-8176-8334-4_11zbMath1270.11090arXiv0907.0955OpenAlexW2165023000MaRDI QIDQ4915869

Yasushi Komori, Hirofumi Tsumura, Kohji Matsumoto

Publication date: 12 April 2013

Published in: Multiple Dirichlet Series, L-functions and Automorphic Forms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.0955

zbMATH Keywords

Weyl groupsLie algebrasroot systemsBernoulli polynomialsWitten zeta-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32) Root systems (17B22)

Related Items (8)

Zeta-functions of root systems and Poincaré polynomials of Weyl groups ⋮ Shuffle products for multiple zeta values and partial fraction decompositions of zeta-functions of root systems ⋮ An overview and supplements to the theory of functional relations for zeta-functions of root systems ⋮ A study on multiple zeta values from the viewpoint of zeta-functions of root systems ⋮ Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces ⋮ On Witten multiple zeta-functions associated with semisimple Lie algebras. II. ⋮ Multiple zeta values and zeta-functions of root systems ⋮ An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers

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