Research on automorphic forms of several variables by using Jacobi forms
| Project/Area Number |
25400024
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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 University of Science |
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Principal Investigator |
Aoki Hiroki 東京理科大学, 理工学部, 准教授 (10333189)
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| Co-Investigator(Renkei-kenkyūsha) |
Hayashida Shuichi 上越教育大学, 学校教育研究科, 准教授 (80597766)
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| Research Collaborator |
Sakata Hiroshi 早稲田高等学院, 教諭
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| Project Period (FY) |
2013-04-01 – 2016-03-31
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| Project Status |
Completed (Fiscal Year 2015)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 整数論 / 保型形式 / ヤコビ形式 |
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| Outline of Final Research Achievements |
This research project is to improve our knowledge of automorphic forms of several variables by using Jacobi forms. Mainly we treat 3 subjects "Refinement of Hecke operators and trace formulas", "New construction of automorphic forms by infinite products of Borcherds type" and "Convergence of formal series of Jacobi forms". Now we have some developments on each subject, for example, classification of Jacobi forms from infinite products, and, to give possible weights of nontrivial Siegel paramodular forms.
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Report
(4 results)
Research Products
(22 results)
