2013 Fiscal Year Final Research Report
Study of automorphic forms and zeta functions by using generalized or refined resolvent type trace formulas
| Project/Area Number |
23540020
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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(科)学研究科(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, 准教授 (80296946)
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| Project Period (FY) |
2011 – 2013
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| Keywords | 数論 / 保型形式 |
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| Research Abstract |
We investigated a generalization or refinement of resolvent type trace formulas, which is useful for studying automororphic forms and zeta functions. Based on our results, we proved analytic properties of zeta functions of Ruelle and Selberg type in one or two variables for Hilbert modular surfaces. Besides, we also proved a prime geodesic type theorem and a regularized determinant formula for restricted Laplacians on Hilbert-Maass forms.
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Research Products
(15 results)
