On Witten multiple zeta-functions associated with semisimple Lie algebras. I
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Publication:877526
DOI10.5802/AIF.2218zbMath1168.11036OpenAlexW352579297MaRDI QIDQ877526
Kohji Matsumoto, Hirofumi Tsumura
Publication date: 24 April 2007
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_2006__56_5_1457_0
Riemann zeta-functionanalytic continuationsemisimple Lie algebraMordell-Tornheim zeta-functionsWitten multiple zeta-functions
Other Dirichlet series and zeta functions (11M41) Simple, semisimple, reductive (super)algebras (17B20) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (21)
ON <i>q</i>-ANALOGUES OF ZETA FUNCTIONS OF ROOT SYSTEMS ⋮ Finite multiple zeta values associated with 2-colored rooted trees ⋮ Zeta-functions of root systems and Poincaré polynomials of Weyl groups ⋮ Cyclic relation for multiple zeta functions ⋮ On \(q\)-analogues of zeta functions of root systems. II. ⋮ 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 ⋮ An interpolation of Ohno's relation to complex functions ⋮ MULTI-POLYLOGS AT TWELFTH ROOTS OF UNITY AND SPECIAL VALUES OF WITTEN MULTIPLE ZETA FUNCTION ATTACHED TO THE EXCEPTIONAL LIE ALGEBRA 𝔤2 ⋮ Zeta and \(L\)-functions and Bernoulli polynomials of root systems ⋮ On the singularities of multiple \(L\)-functions ⋮ On Witten multiple zeta-functions associated with semisimple Lie algebras. II. ⋮ Witten multiple zeta values attached to \(\mathfrak {sl}(4)\) ⋮ Computation and Experimental Evaluation of Mordell–Tornheim–Witten Sum Derivatives ⋮ ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV ⋮ Double Lerch value relations and functional relations for Witten zeta functions ⋮ Bounds of double zeta-functions and their applications ⋮ An integral representation of the Mordell-Tornheim double zeta function and its values at non-positive integers ⋮ Some relations among Apostol-Vu double zeta values for coordinatewise limits at non-positive integers ⋮ ON A CERTAIN CONVOLUTION OF POLYLOGARITHMS
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