2010 Fiscal Year Final Research Report
Resolvent type trace formulas, automorphic forms and number theory
| Project/Area Number |
19540039
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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 | Kyushu University |
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Principal Investigator |
GON Yasuro Kyushu University, 大学院・数理学研究院, 准教授 (30302508)
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| Project Period (FY) |
2007 – 2010
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| Keywords | 数論 / 保型形式 |
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| Research Abstract |
Automorphic forms are important functions that appear when researching number theory. The trace formula is one of the most important tools in studying automorphic forms. We proved various formulas on some types of trace formulas, which is useful for application to number theory. Based on our results, we also proved analytic properties of Ruelle zeta functions and Selberg zeta functions.
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