2011 Fiscal Year Final Research Report
Fox functions and zeta-functions
| Project/Area Number |
21540029
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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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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| Co-Investigator(Renkei-kenkyūsha) |
TANIGAWA Yoshio 名古屋大学, 大学院・多元数理科学研究科, 准教授 (50109261)
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| Project Period (FY) |
2009 – 2011
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| Keywords | ゼータ関数 / 関数等式 / モジュラー関係式 / フーリエ級数 / 超幾何級数 |
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| Research Abstract |
The purpose of the present research is to locate all the identities that have been assembled in the last 150 years after Riemann, equivalent to the functional equation for a wide class of zeta-functions in terms of Fox H-functions and by locating them in terms of the Meijer G-functions, to find new identities that are useful not only in mathematics but also in other scientific disciplines. In the year 2011, we were able to accomplish this task in the following setting : the origin of Plana's summation formula, the formula for short interval character sums and arithmetical Fourier series
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Research Products
(26 results)
