Functional equations for zeta-functions and Euler product
| Project/Area Number |
25400032
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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 | Kinki University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
TSUKADA Haruo 近畿大学, 産業理工学部, 教授 (00257990)
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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 |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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| Keywords | ゼータ関数 / 関数等式 / モジュラー関係式 / イーワルド展開 / 非加工モジュラー関係式 / シータ変換公式 / モジュラーリレイション / 特殊関数 / H-関数 / オイラー積 / 零点分布 / フォックスH－関数 / マイヤーG-関数 / ベータ変換 / 超幾何関数変換 |
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| Outline of Final Research Achievements |
The main achievement of our research is the completion of the book ``Contributions to the theory of zeta-functions--modular relation supremacy'' which has been the ultimate objective of this series of research under the support of the JSPS grant. The book elucidate all existing identities equivalent or consequences of the functions equation--zeta symmetry. We have made clear the threshold between the zeta-function with Euler product and without. We are reay to launching on Vol. 2 in which we will work with zets with Euler product.
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Report
(4 results)
Research Products
(20 results)
