{"created":"2021-03-01T06:59:45.539404+00:00","id":40173,"links":{},"metadata":{"_buckets":{"deposit":"32b5b773-a69e-418b-b07a-512432e68160"},"_deposit":{"id":"40173","owners":[],"pid":{"revision_id":0,"type":"depid","value":"40173"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:00040173","sets":["312:6865:6987:6995","9:504:6868:6989:6996"]},"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2003","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"138","bibliographicPageStart":"119","bibliographicVolumeNumber":"10","bibliographic_titles":[{"bibliographic_title":"Journal of mathematical sciences, the University of Tokyo"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"B. Gross has formulated a conjectural generalization of the class number formula. Suppose $L/K$ is an abelian extension of global fields with Galois group $G$. A generalized Stickelberger element $θ \\in \\ZZ[G]$ is constructed from special values of $L$-functions at $s = 0$. Gross'conjecture then predicts some $I$-adic information about $θ$, where $I \\subseteq \\ZZ[G]$ is the augmentation ideal. In this paper, we prove (under a mild hypothesis) the conjecture for the maximal abelian extension of the rational function field $\\FF_q(X)$ that is unramified outside a set of three degree $1$ places.","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":"MR1963800"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_value":"11R58(MSC1991)"},{"subitem_text_value":"11G40(MSC1991)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2002-06-17"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Reid, Michael"}],"nameIdentifiers":[{"nameIdentifier":"92661","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":"2017-06-14"}],"displaytype":"detail","filename":"jms100104.pdf","filesize":[{"value":"178.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"jms100104.pdf","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/40173/files/jms100104.pdf"},"version_id":"7cd821c9-9e6b-4656-87fd-38395a33b632"}]},"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":"Gross'Conjecture for Extensions Ramified over Three Points of $\\Bbb P^1$","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Gross'Conjecture for Extensions Ramified over Three Points of $\\Bbb P^1$"}]},"item_type_id":"4","owner":"1","path":["6995","6996"],"pubdate":{"attribute_name":"公開日","attribute_value":"2011-06-16"},"publish_date":"2011-06-16","publish_status":"0","recid":"40173","relation_version_is_last":true,"title":["Gross'Conjecture for Extensions Ramified over Three Points of $\\Bbb P^1$"],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-19T04:15:16.452966+00:00"}