Research on the analytic behavior of the multiple zeta function from the geometric aspect
| Project/Area Number |
21840053
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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 | Kinki University |
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Principal Investigator |
SASAKI Yoshitaka Kinki University, 総合理工学研究科, 博士研究員 (20548771)
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| Project Period (FY) |
2009 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥2,704,000 (Direct Cost: ¥2,080,000、Indirect Cost: ¥624,000)
Fiscal Year 2010: ¥1,287,000 (Direct Cost: ¥990,000、Indirect Cost: ¥297,000)
Fiscal Year 2009: ¥1,417,000 (Direct Cost: ¥1,090,000、Indirect Cost: ¥327,000)
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| Keywords | 多重ゼータ関数 / 多重ゼータ値 / 特異点解消 / 関数等式 / 整数論 / 代数学 / 解析学 / 幾何学 |
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| Research Abstract |
I obtained some analytic information of the multiple zeta function by investigating from the geometric aspect. For instance, a new functional relation among the multiple zeta functions was obtained. Furthermore, I also researched on the Witten zeta function. I showed relations between Witten zeta values and multiple higher Mahler measures. Thereby, a geometric interpretation of the multiple higher Mahler measure was given.
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Report
(3 results)
Research Products
(42 results)
