@article{oai:nagoya.repo.nii.ac.jp:00017975,
 author = {KOMORI, YASUSHI and MATSUMOTO, KOHJI},
 issue = {1},
 journal = {Glasgow Mathematical Journal},
 month = {Jan},
 note = {In our previous work, we established the theory of multi-variable Witten zeta-functions, which are called the zeta-functions of root systems. We have already considered the cases of types A2, A3, B2, B3 and C3. In this paper, we consider the case of G2-type. We define certain analogues of Bernoulli polynomials of G2-type and study the generating functions of them to determine the coefficients of Witten’s volume formulas of G2-type. Next, we consider the meromorphic continuation of the zeta-function of G2-type and determine its possible singularities. Finally, by using our previous method, we give explicit functional relations for them which include Witten’s volume formulas.},
 pages = {185--206},
 title = {ON WITTEN MULTIPLE ZETA-FUNCTIONS ASSOCIATED WITH SEMI-SIMPLE LIE ALGEBRAS IV},
 volume = {53},
 year = {2011}
}