{"created":"2021-03-01T06:59:43.081966+00:00","id":40137,"links":{},"metadata":{"_buckets":{"deposit":"4189216b-1e12-4c49-b53a-0b105db5bf69"},"_deposit":{"id":"40137","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40137"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040137","sets":["312:6865:6967:6973","9:504:6868:6969:6974"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2005-07-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"317","bibliographicPageStart":"289","bibliographicVolumeNumber":"12","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_13":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"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.","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_subject_15":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"415","subitem_subject_scheme":"NDC"}]},"item_4_text_16":{"attribute_name":"Mathematical Reviews Number","attribute_value_mlt":[{"subitem_text_value":"MR2150739"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"11M36(MSC2000)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2004-05-20"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Wakayama, Masato"}],"nameIdentifiers":[{"nameIdentifier":"138719","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-06-27"}],"displaytype":"detail","filename":"jms120206.pdf","filesize":[{"value":"339.4 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms120206.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40137/files/jms120206.pdf"},"version_id":"e8a7dad1-7ecc-4558-b80c-0c5470cdcbd4"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"representation","subitem_subject_scheme":"Other"},{"subitem_subject":"zeta regularization","subitem_subject_scheme":"Other"},{"subitem_subject":"multiple Hurwitz zeta function","subitem_subject_scheme":"Other"},{"subitem_subject":"multiple sine function","subitem_subject_scheme":"Other"},{"subitem_subject":"multiple elliptic gamma function","subitem_subject_scheme":"Other"},{"subitem_subject":"multiple Bernoulli polynomial","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Remarks on Shintani's zeta function","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Remarks on Shintani's zeta function"}]},"item_type_id":"4","owner":"1","path":["6973","6974"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40137","relation_version_is_last":true,"title":["Remarks on Shintani's zeta function"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:11.398763+00:00"}