Research on the analytic property related with the zeta-values of the root system

研究了与多重zeta值相关的解析性质。特别地，对于与数学物理相关的广义Mordell-Tornheim双zeta函数与根系的zeta函数相关，研究了其正整数处的双zeta值和三zeta值及其均值定理，对于正整数处的zeta值的结果，给出了奇偶性结果的简明显式.进一步给出了Euler-Zagier双zeta-函数的中值定理，它们是Euler-Zagier双zeta-函数中值定理的推广。

I researched on the analytic property related with the multiple zeta-values. In particular, for generalized Mordell-Tornheim double zeta-function associated with mathematical physics is related to the zeta-function of the root system, I studied about their double and triple zeta values at positive integers and also its mean value theorems.For the result on the zeta values at positive integers, I gave brief explicit formulas of the result on the Parity result. Further, I gave mean value theorems which are generalization of the mean value theorems for the Euler-Zagier double zeta-function.