2007 Fiscal Year Final Research Report Summary
Study of modular forms and arithmefic variefiesStudy of modular forms and
| Project/Area Number |
18540050
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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 | Tokyo University of Science |
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Principal Investigator |
HAMAHTA Yoshiori Tokyo University of Science, Faculfy of Sscience and Engineering, Associate Professor (90260645)
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| Co-Investigator(Kenkyū-buntansha) |
AGO Takashi TOKYO UNIVERSITY OF SCIENCE, Faculfy of Scienceand Eigineering, professor (60112893)
HOSOO Toshio TOKYO UNIVERSITY OF SCIENCE, Faculfy of Science and Engineering, Associate Professor (30130339)
AOKI Hiroki TOKYO UNIVERSITY OF SCIENCE, Faculfy of Science and Engineering, Junior Associate Professor (10333189)
GOTO Takeshi TOKYO UNIVERSITY OF SCIENCE, Faculfy of Science and Engineering, Assistant Professor (20366438)
HACHIMORI Yoshitaka TOKYO UNIVERSITY OF SCIENCE, Faclfy of Science and Engineering, Junior Associate Professor (50433743)
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| Project Period (FY) |
2006 – 2007
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| Keywords | medular forms |
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| Research Abstract |
The head investigator worked on the following topics :
1. We introduced modular forms in several variables on finite upper half planes, and studied Eisenstein series.
2. We established the recurrence formulas for multi-poly- Bernoulli numbers.
3. We obtained some Siegel subvarieties of codimension one, which are of general type, under certain conditions of the type of polarization.
Other investigators got some results: T. Agoh established a quadratic recurrence formula of new type for Bernoulli numbers. H. Aoki determined some rings of vector valued Siegel modular forms. T. Gotoh obtained some results on the existence of unitary perfect and harmonic numbers.
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