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Remarks on Shintani's zeta function
http://hdl.handle.net/2261/1950
http://hdl.handle.net/2261/19503db1fd48-7aff-4450-b04d-809c3b0d4a7d
名前 / ファイル | ライセンス | アクション |
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jms120206.pdf (339.4 kB)
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Item type | 紀要論文 / Departmental Bulletin Paper(1) | |||||
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公開日 | 2008-03-04 | |||||
タイトル | ||||||
タイトル | Remarks on Shintani's zeta function | |||||
言語 | ||||||
言語 | eng | |||||
キーワード | ||||||
主題 | representation | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | zeta regularization | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | multiple Hurwitz zeta function | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | multiple sine function | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | multiple elliptic gamma function | |||||
主題Scheme | Other | |||||
キーワード | ||||||
主題 | multiple Bernoulli polynomial | |||||
主題Scheme | Other | |||||
資源タイプ | ||||||
資源 | http://purl.org/coar/resource_type/c_6501 | |||||
タイプ | departmental bulletin paper | |||||
著者 |
Wakayama, Masato
× Wakayama, Masato |
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抄録 | ||||||
内容記述タイプ | Abstract | |||||
内容記述 | We introduce a zeta function attached to a representation of a group. We show that the multi-dimensional zeta function due to Shintani [Sh 1], which is a generalization of the multiple Hurwitz zeta function, can be obtained in this framework. We also construct a gamma function from the zeta function attached to a representation via zeta regularization. We study then a $q$-analogue of the Shintani zeta function and the corresponding gamma function. A sine function defined via the reflection formula of such $q$-Shintani gamma function is shown to be a natural generalization of the multiple elliptic function in [Ni]. Moreover, a certain non-commutative group-analogue of the Shintani zeta function is investigated. | |||||
書誌情報 |
Journal of mathematical sciences, the University of Tokyo 巻 12, 号 2, p. 289-317, 発行日 2005-07-06 |
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ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 13405705 | |||||
書誌レコードID | ||||||
収録物識別子タイプ | NCID | |||||
収録物識別子 | AA11021653 | |||||
フォーマット | ||||||
内容記述タイプ | Other | |||||
内容記述 | application/pdf | |||||
日本十進分類法 | ||||||
主題 | 415 | |||||
主題Scheme | NDC | |||||
Mathematical Reviews Number | ||||||
MR2150739 | ||||||
Mathmatical Subject Classification | ||||||
11M36(MSC2000) | ||||||
出版者 | ||||||
出版者 | Graduate School of Mathematical Sciences, The University of Tokyo | |||||
原稿受領日 | ||||||
2004-05-20 |