神本 丈(かみもと じよう) | データ更新日:2024.04.19 |
教授 /
数理学研究院
解析部門
1. | Joe Kamimoto, Toshihiro Nose, On meromorphic continuation of local zeta functions, Springer New York LLC, 10.1007/978-4-431-55744-9_13, 187-195, 2015.01, [URL], We investigate meromorphic continuation of local zeta functions and properties of their poles. In the real analytic case, local zeta functions can be meromorphically continued to the whole complex plane and, moreover, properties of the poles have been precisely investigated. However, in the only smooth case, the situation of meromorphic continuation is very different. Actually, there exists an example in which a local zeta function has a singularity different from poles. We give a sufficient condition for that the first finitely many poles samely appear as in the real analytic case and exactly investigate properties of the first pole.. |
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QIR 九州大学学術情報リポジトリ システム情報科学研究院
数理学研究院
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