抄録
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.
| 元の言語 | 英語 |
|---|---|
| ホスト出版物のタイトル | Complex Analysis and Geometry - KSCV 2014 |
| 編集者 | Jisoo Byun, Filippo Bracci, Hervé Gaussier, Kang-Tae Kim, Nikolay Shcherbina, Kengo Hirachi |
| 出版者 | Springer New York LLC |
| ページ | 187-195 |
| ページ数 | 9 |
| ISBN（印刷物） | 9784431557432 |
| DOI | |
| 出版物ステータス | 出版済み - 1 1 2015 |
| イベント | 10th Korean Conference on Several Complex Variables, KSCV 2014 - Gyeongju, 大韓民国 継続期間: 8 7 2014 → 8 11 2014 |
出版物シリーズ
| 名前 | Springer Proceedings in Mathematics and Statistics |
|---|---|
| 巻 | 144 |
| ISSN（印刷物） | 2194-1009 |
| ISSN（電子版） | 2194-1017 |
その他
| その他 | 10th Korean Conference on Several Complex Variables, KSCV 2014 |
|---|---|
| 国 | 大韓民国 |
| 市 | Gyeongju |
| 期間 | 8/7/14 → 8/11/14 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
これを引用
On meromorphic continuation of local zeta functions. / Kamimoto, Joe; Nose, Toshihiro.
Complex Analysis and Geometry - KSCV 2014. 版 / Jisoo Byun; Filippo Bracci; Hervé Gaussier; Kang-Tae Kim; Nikolay Shcherbina; Kengo Hirachi. Springer New York LLC, 2015. p. 187-195 (Springer Proceedings in Mathematics and Statistics; 巻 144).研究成果: 著書/レポートタイプへの貢献 › 会議での発言
}
TY - GEN
T1 - On meromorphic continuation of local zeta functions
AU - Kamimoto, Joe
AU - Nose, Toshihiro
PY - 2015/1/1
Y1 - 2015/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84950985930&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84950985930&partnerID=8YFLogxK
U2 - 10.1007/978-4-431-55744-9_13
DO - 10.1007/978-4-431-55744-9_13
M3 - Conference contribution
SN - 9784431557432
T3 - Springer Proceedings in Mathematics and Statistics
SP - 187
EP - 195
BT - Complex Analysis and Geometry - KSCV 2014
A2 - Byun, Jisoo
A2 - Bracci, Filippo
A2 - Gaussier, Hervé
A2 - Kim, Kang-Tae
A2 - Shcherbina, Nikolay
A2 - Hirachi, Kengo
PB - Springer New York LLC
ER -