2012 Fiscal Year Final Research Report
Analytic structures and arithmetic properties of multiple zeta-functions
| Project/Area Number |
20340003
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Nagoya University |
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Principal Investigator |
MATSUMOTO Kohji 名古屋大学, 多元数理科学研究科, 教授 (60192754)
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| Co-Investigator(Kenkyū-buntansha) |
KOMORI Yasushi 立教大学, 理学部, 准教授 (80343200)
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| Co-Investigator(Renkei-kenkyūsha) |
TSUMURA Hirofumi 首都大学東京, 大学院・理工学研究科, 教授 (20310419)
KANEKO Masanobu 九州大学, 大学院・数理学研究院, 教授 (70202017)
KANEMITSU Shigeru 近畿大学, 工学部, 教授 (60117091)
EGAMI Shigeki 芝浦工業大学, 工学部, 教授 (60168771)
OCHIAI Hiroyuki 九州大学, 大学院・数理学研究院, 教授 (90214163)
OHNO Yasuo 近畿大学, 理工学部, 准教授 (70330230)
TANIGAWA Yoshio 名古屋大学, 大学院・多元数理科学研究科, 准教授 (50109261)
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| Project Period (FY) |
2008 – 2012
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| Keywords | 数論 |
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| Research Abstract |
We studied analytic properties, special values and their relations with actions of Weyl groups, and functional relations for multiple zeta-functions associated with root systems. We proved several new formulas. In particular, we obtained functional relations and parity results for the zeta-function of the root system of type G_2, new relations for Euler-Zagier sums from the viewpoint of root systems of type C, and various properties of more general zeta-functions associated with Lie groups.
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