{"created":"2024-10-28T02:49:13.101436+00:00","id":2004106,"links":{},"metadata":{"_buckets":{"deposit":"5c33b2b4-16f8-41b7-aa67-a1817938f717"},"_deposit":{"created_by":7,"id":"2004106","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2004106"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02004106","sets":["1713829974766:1713854679917:1716360593403","1713853213384:1713853297799"]},"author_link":["1028"],"item_10001_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"47","bibliographicPageStart":"43","bibliographicVolumeNumber":"50","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematics","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"In 1922 R. D. Carmichael conjectured that for any natural number n there exist infinitely many natural numbers m such that φ(n) = φ(m). It is well known that this conjecture can be proved under the assumption of the famous unproved hypothesis of Schinzel and Sierpiński. In this short note, we shall show the Hypothesis of Schinzel and Sierpiński implies more precisely that the existence of infinitely many cyclotomic fields Q(ζn) and Q(ζm) with isomorphic absolute Galois groups. Here ζn and ζm are primitive nth and mth roots of unity with m ≠ n.","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_10001_source_id_9":{"attribute_name":"収録物ID","attribute_value_mlt":[{"subitem_source_identifier":"13467387","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"AA11595324","subitem_source_identifier_type":"NCID"}]},"item_10001_version_type_20":{"attribute_name":"出版タイプ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_1715043197608":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access"}]},"item_1723180141928":{"attribute_name":"EID","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"322430"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNameIdentifiers":[{"affiliationNameIdentifier":"","affiliationNameIdentifierScheme":"ISNI","affiliationNameIdentifierURI":"http://www.isni.org/isni/"}],"affiliationNames":[{"affiliationName":"","affiliationNameLang":"ja"}]}],"creatorNames":[{"creatorName":"片山, 真一","creatorNameLang":"ja"},{"creatorName":"カタヤマ, シンイチ","creatorNameLang":"ja-Kana"},{"creatorName":"Katayama, Shin-ichi","creatorNameLang":"en"}],"familyNames":[{"familyName":"片山","familyNameLang":"ja"},{"familyName":"カタヤマ","familyNameLang":"ja-Kana"},{"familyName":"Katayama","familyNameLang":"en"}],"givenNames":[{"givenName":"真一","givenNameLang":"ja"},{"givenName":"シンイチ","givenNameLang":"ja-Kana"},{"givenName":"Shin-ichi","givenNameLang":"en"}],"nameIdentifiers":[{"nameIdentifier":"1028","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"60466/profile-ja.html","nameIdentifierScheme":"徳島大学 教育研究者総覧","nameIdentifierURI":"http://pub2.db.tokushima-u.ac.jp/ERD/person/60466/profile-ja.html"},{"nameIdentifier":"70194777","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/search/?qm=70194777"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2017-11-22"}],"displaytype":"detail","filename":"jm_50_43.pdf","filesize":[{"value":"67 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2004106/files/jm_50_43.pdf"},"version_id":"2dd3b2ae-0d3a-4d14-bb05-22e8d0511af6"}]},"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":"Hypothesis of Schinzel and Sierpiński and Cyclotomic Fields with Isomorphic Galois Groups","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Hypothesis of Schinzel and Sierpiński and Cyclotomic Fields with Isomorphic Galois Groups","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853297799","1716360593403"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2017-11-22"},"publish_date":"2017-11-22","publish_status":"0","recid":"2004106","relation_version_is_last":true,"title":["Hypothesis of Schinzel and Sierpiński and Cyclotomic Fields with Isomorphic Galois Groups"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2025-04-28T08:02:25.304057+00:00"}