2017 Fiscal Year Final Research Report
The geometric side of the Arthur trace formula and applications to explicit trace formulas
| Project/Area Number |
26800006
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Kanazawa University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | 整数論 / 保型形式 / ジーゲル保型形式 / 次元公式 / 跡公式 |
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| Outline of Final Research Achievements |
Automorphic forms mean Laplacian eigenfunctions on arithmetic quotients of Lie groups. There is a long history of studies for automorphic forms, and they play important roles in the number theory. In this study, we treated holomorphic Siegel modular form, which is a kind of important automorphic forms. We established a general and explicit dimension formula, by which one can know amounts of their existences. Furthermore, we studied the trace formula, which is necessary for studies of dimension formula and automorphic form, and we obtained some results for it.
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| Free Research Field |
整数論
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