2016 Fiscal Year Final Research Report
Resolvent type trace formulas, automorphic forms and zeta functions
| Project/Area Number |
26400017
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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 | Kyushu University |
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Principal Investigator |
GON Yasuro 九州大学, 数理学研究院, 准教授 (30302508)
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| Co-Investigator(Renkei-kenkyūsha) |
TSUZUKI Masao 上智大学, 理工学部, 教授 (80296946)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 数論 / 保型形式 / 跡公式 |
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| Outline of Final Research Achievements |
We studied resolvent type trace formulas, automorphic forms and zeta functions. Based on our results, we proved analytic properties of certain Dirichlet series constructed from periods of automorphic forms. We also determined the location of poles and residues. Besides, we obtained an simple and explicit integral representation of Siegel-Whittaker functions on Sp(2,R) for the large discrete series representations.
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| Free Research Field |
代数学
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