1997 Fiscal Year Final Research Report Summary
The study of the pole of the zeta function.
| Project/Area Number |
08640166
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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 |
解析学
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| Research Institution | Saitama University |
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Principal Investigator |
YANO Tamaki Saitama University Faculty of Science, Department of Mathematics, Professor, 理学部, 教授 (10111410)
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| Co-Investigator(Kenkyū-buntansha) |
FUKUI Toshizumi Saitama University Faculty of Science, Department of Mathematics, Associated Pro, 理学部, 助教授 (90218892)
OKUMURA Masafumi Saitama University Faculty of Science, Department of Mathematics, Professor, 理学部, 教授 (60016053)
SATOH Takakazu Saitama University Faculty of Science, Department of Mathematics, Associated Pro, 理学部, 助教授 (70215797)
NAGASE Masayoshi Saitama University Faculty of Science, Department of Mathematics, Professor, 理学部, 教授 (30175509)
SAKAI Fumio Saitama University Faculty of Science, Department of Mathematics, Professor, 理学部, 教授 (40036596)
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| Project Period (FY) |
1996 – 1997
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| Keywords | Zeta function / Prehomogenous / singularity |
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| Research Abstract |
The totalty of irredeuchible regular Prehomogenous Vector spaces are classified into 29 types.
For almost all types, their p-adic zeta functions are determined. But zeta functions for the type SL (5) xGL (4) has not been determined. T.Yano studied in detail for this space, and published a result. For its p-adic zeta functions, we determined several factors in the denominator.
Zeta functions are defined for algebraic curves. F.Sakai studied them.
M.Nagase studeied geometric aspects, and T.Fukui made an effort from the singularity point of view.
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