2017 Fiscal Year Final Research Report
Research on number theoretic properties of zeta functions in several variables
| Project/Area Number |
15K04788
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Tokyo Metropolitan University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
MATSUMOTO Kohji 名古屋大学, 大学院・多元数理科学研究科, 教授 (60192754)
KOMORI Yasushi 立教大学, 理学部・数学科, 教授 (80343200)
FURUSHO Hidekazu 名古屋大学, 大学院・多元数理科学研究科, 准教授 (60377976)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Keywords | 整数論 / ゼータ関数 |
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| Outline of Final Research Achievements |
The main aim in this research is to study what is called the zeta function which plays an important role in number theory and investigate their properties. In particular, we studied zeta functions in several variables mainly from the viewpoint of the analytic aspect. We studied the Witten zeta function in several variables which was defined based on Witten's work, and also the Arakawa-Kaneko zeta function defined by Tsuneo Arakawa and Masanobu Kaneko. Our main result is consider the number theoretic properties of these zeta functions,and consequently we obtained unknown properties of them and gave new results.
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| Free Research Field |
代数学
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