2015 Fiscal Year Final Research Report
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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| 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 |
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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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| Free Research Field |
解析的整数論
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