Research on the analytic property related with the zeta-values of the root system
| Project/Area Number |
24840041
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Ritsumeikan University |
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Principal Investigator |
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| Project Period (FY) |
2012-08-31 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 多重ゼータ関数 / 平均値 / ベルヌーイ多項式 / parity result / ルート系のゼータ関数 / DirichletのL関数 / 平均値定理 / ２重ゼータ関数 |
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| 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.
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Report
(3 results)
Research Products
(9 results)
