{"created":"2024-10-09T10:34:07.038506+00:00","id":2001150,"links":{},"metadata":{"_buckets":{"deposit":"b3e580f1-8103-42f3-9bce-91b6193bedef"},"_deposit":{"created_by":7,"id":"2001150","owners":[7],"pid":{"revision_id":0,"type":"depid","value":"2001150"},"status":"published"},"_oai":{"id":"oai:tokushima-u.repo.nii.ac.jp:02001150","sets":["1713853213384:1713853297799"]},"author_link":["1028"],"item_10001_biblio_info_7":{"attribute_name":"bibliographic_information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-12","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"23","bibliographicPageStart":"9","bibliographicVolumeNumber":"43","bibliographic_titles":[{"bibliographic_title":"Journal of mathematics, the University of Tokushima","bibliographic_titleLang":"en"}]}]},"item_10001_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"It is well known that Gauss has found the first complete proof of quadratic reciprocity laws in [2] (1801) and many different proofs for quadratic reciprocity laws of Legendre symbols have been published after then (see for example Appendix B of Lemmermeyer’s text [11]). In this paper, we shall write down a visual proof of quadratic reciprocity laws for Jacobi symbols depending on Schering’s generalization of Gauss’s lemma.","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":"item_1723180141928","attribute_value_mlt":[{"subitem_identifier_type":"URI","subitem_identifier_uri":"204538"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"黒木, 新","creatorNameLang":"ja"},{"creatorName":"クロキ, アラタ","creatorNameLang":"ja-Kana"},{"creatorName":"Kuroki, Arata","creatorNameLang":"en"}]},{"creatorNames":[{"creatorName":"片山, 真一","creatorNameLang":"ja"}],"nameIdentifiers":[{"nameIdentifier":"1028","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_access","date":[{"dateType":"Available","dateValue":"2011-12-22"}],"displaytype":"detail","filename":"LID201112222002.pdf","filesize":[{"value":"172 KB"}],"format":"application/pdf","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://tokushima-u.repo.nii.ac.jp/record/2001150/files/LID201112222002.pdf"},"version_id":"467ba387-46cd-4604-af75-1ab7d77a7c92"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"item_resource_type","attribute_value_mlt":[{"resourcetype":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"A Variation of Takagi's Proof for Quadratic Reciprocity Laws for Jacobi Symbols","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A Variation of Takagi's Proof for Quadratic Reciprocity Laws for Jacobi Symbols","subitem_title_language":"en"}]},"item_type_id":"40001","owner":"7","path":["1713853297799"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2011-12-22"},"publish_date":"2011-12-22","publish_status":"0","recid":"2001150","relation_version_is_last":true,"title":["A Variation of Takagi's Proof for Quadratic Reciprocity Laws for Jacobi Symbols"],"weko_creator_id":"7","weko_shared_id":-1},"updated":"2024-10-09T10:34:15.114072+00:00"}