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

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

We prove certain general forms of functional relations among Witten multiple zeta-functions in several variables (or zeta-functions of root systems). The structural background of these functional relations is given by the symmetry with respect to Weyl groups. From these relations, we can deduce explicit expressions of values of Witten zeta-functions …