@article{oai:nagoya.repo.nii.ac.jp:00017981,
author = {Matsumoto, Kohji and Tsumura, Hirofumi},
issue = {5},
journal = {Annales de l'institut Fourier},
month = {},
note = {We define Witten multiple zeta-functions associated with semisimple Lie algebras ????????(n), (n=2,3,...) of several complex variables, and prove the analytic continuation of them. These can be regarded as several variable generalizations of Witten zeta-functions defined by Zagier. In the case ????????(4), we determine the singularities of this function. Furthermore we prove certain functional relations among this function, the Mordell-Tornheim double zeta-functions and the Riemann zeta-function. Using these relations, we prove new and non-trivial evaluation formulas for special values of this function at positive integers.},
pages = {1457--1504},
title = {On Witten multiple zeta-functions associated with semisimple Lie algebras I},
volume = {56},
year = {2006}
}