2013 Fiscal Year Final Research Report
Research on the analytic property related with the zeta-values of the root system
| Project/Area Number |
24840041
|
|---|
| Research Category |
Grant-in-Aid for Research Activity Start-up
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Ritsumeikan University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2012-08-31 – 2014-03-31
|
| Keywords | 多重ゼータ関数 / 平均値 / ベルヌーイ多項式 / parity result |
|---|
| Research Abstract |
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.
|
