| Project/Area Number |
25400005
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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 | Gunma University |
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Principal Investigator |
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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 |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | L関数 / 値分布 / 独立性 / セルバーグ直交性 / セルバーグ・クラス / 普遍性定理 / 一般リーマン予想 / ゼータ関数 / 関数的独立性 |
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| Outline of Final Research Achievements |
We studied the so-called joint universality properties in the theory of value-distribution of L-functions and established several results in the cases of the t-aspect, q-aspect and d-aspect. As a related topic, we also studied zeros of L-functions associated with holomorphic cusp forms for SL(2,Z). Furthermore, we obtained several results on independence of L-functions, by applying Selberg's orthogonality.
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