2010 Fiscal Year Final Research Report
Zeta functions of prehomogeneous vector spaces
| Project/Area Number |
20540003
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Tohoku University |
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Principal Investigator |
YUKIE Akihiko 東北大学, 大学院・理学研究科, 教授 (20312548)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 整数論 / 概均質ベクトル空間 / ゼータ関数 / 密度定理 |
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| Research Abstract |
One of the purposes of this investigation was to publish results Obetained before. Two of the preprints finished just prior to this investigation have appeared. The third one is in the process of revision. During the course of finishing this work, I discovered the possibility of extending the notion of the Jordan decomposition and another purpose was to pursue this possibility. Even though I have not finished a preprint, it is progressing and I expect to have a preprint in the near future.
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