{"created":"2021-03-01T06:59:52.829292+00:00","id":40280,"links":{},"metadata":{"_buckets":{"deposit":"e4e8062b-7de4-4927-8048-60858122ca7a"},"_deposit":{"id":"40280","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40280"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040280","sets":["312:6865:7037:7043","9:504:6868:7039:7044"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1998","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"399","bibliographicPageStart":"367","bibliographicVolumeNumber":"5","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":"Let $S_{2m}(Γ(\\frak p))$ be the space of Hilbert modular cusp forms for the principal congruence subgroup with level $\\frak p$ of $SL_2(O_K)$ (here $O_K$ is the ring of integers of $K$, and $\\frak p$ is a prime ideal of $O_K$). Then we have the action of $SL_2(\\Bbb F_q)$ on $S_{2m}(Γ(\\frak p))$, where $q=N\\frak p$. When $q$ is a power of an odd prime, for each $SL_2(\\Bbb F_q)$ we have two irreducible characters which have conjugate values mutually. In the case where $K$ is the field of rationals, M. Eichler gives a formula for the difference of multiplicites of these characters in the trace of the representation of $SL_2(\\Bbb F_q)$ on $S_{2m}(Γ(\\frak p))$. In the case where $K$ is a real quadratic field, H. Saito gives a formula analogous to that of Eichler for the difference. The purpose of this paper is to give a formula analogous to that of Eichler in the case where $K$ is a totally real cubic field.","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":"MR1633870"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"11F41(MSC1991)"},{"subitem_text_value":"10D21(MSC1991)"},{"subitem_text_value":"12A50(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"1997-12-24"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hamahata, Yoshinori"}],"nameIdentifiers":[{"nameIdentifier":"138877","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":"jms050207.pdf","filesize":[{"value":"253.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms050207.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40280/files/jms050207.pdf"},"version_id":"4f2d806c-e97a-4eb9-878e-c6022e16401a"}]},"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":"The Spaces of Hilbert Cusp Forms for Totally Real Cubic Fields and Representations of $SL_2(\\Bbb F_q)$","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"The Spaces of Hilbert Cusp Forms for Totally Real Cubic Fields and Representations of $SL_2(\\Bbb F_q)$"}]},"item_type_id":"4","owner":"1","path":["7043","7044"],"pubdate":{"attribute_name":"公開日","attribute_value":"2008-03-04"},"publish_date":"2008-03-04","publish_status":"0","recid":"40280","relation_version_is_last":true,"title":["The Spaces of Hilbert Cusp Forms for Totally Real Cubic Fields and Representations of $SL_2(\\Bbb F_q)$"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:35.809804+00:00"}