{"_buckets": {"deposit": "657fd2ae-ae51-4205-98c9-15972bdf5490"}, "_deposit": {"id": "2006981", "owners": [1], "pid": {"revision_id": 0, "type": "depid", "value": "2006981"}, "status": "published"}, "_oai": {"id": "oai:u-ryukyu.repo.nii.ac.jp:02006981", "sets": ["1642837999752", "1642838406414"]}, "author_link": [], "item_1617186331708": {"attribute_name": "Title", "attribute_value_mlt": [{"subitem_1551255647225": "Quadratic non-residues on extended Riemann hypothesis", "subitem_1551255648112": "en"}]}, "item_1617186419668": {"attribute_name": "Creator", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Takaku, Akira", "creatorNameLang": "en"}]}]}, "item_1617186476635": {"attribute_name": "Access Rights", "attribute_value_mlt": [{"subitem_1522299639480": "open access", "subitem_1600958577026": "http://purl.org/coar/access_right/c_abf2"}]}, "item_1617186626617": {"attribute_name": "Description", "attribute_value_mlt": [{"subitem_description": "Let k be a positive integer and x a real non-principal character (mod k) . Then under the extended Riemann hypothesis we have #{1≦n≦k^\u003c1/4+ε |X ( n ) =-1}\u003e k^\u003c(1/4+ε)/2-s\u003e, [ k≧k＿o(ε, S)] if k is cubefree and #{1≦n≦k^\u003c3/8+ε\u003e |x(n)=-1} ＞k^\u003c(3/8+ε)/2-S\u003e,[k≧k_o(ε,S)] otherwise, whereε and S are any positive real numbers.", "subitem_description_type": "Other"}, {"subitem_description": "紀要論文", "subitem_description_type": "Other"}]}, "item_1617186643794": {"attribute_name": "Publisher", "attribute_value_mlt": [{"subitem_1522300295150": "ja", "subitem_1522300316516": "琉球大学理工学部"}, {"subitem_1522300295150": "en", "subitem_1522300316516": "Science and Engineering Division, University of the Ryukyus"}]}, "item_1617186702042": {"attribute_name": "Language", "attribute_value_mlt": [{"subitem_1551255818386": "eng"}]}, "item_1617186783814": {"attribute_name": "Identifier", "attribute_value_mlt": [{"subitem_identifier_type": "HDL", "subitem_identifier_uri": "http://hdl.handle.net/20.500.12000/23521"}]}, "item_1617186920753": {"attribute_name": "Source Identifier", "attribute_value_mlt": [{"subitem_1522646500366": "NCID", "subitem_1522646572813": "AN0025080X"}]}, "item_1617186941041": {"attribute_name": "Source Title", "attribute_value_mlt": [{"subitem_1522650068558": "ja", "subitem_1522650091861": "琉球大学理工学部紀要. 理学編"}, {"subitem_1522650068558": "en", "subitem_1522650091861": "Bulletin of Science \u0026 Engineering Division, University of Ryukyus. Mathematics \u0026 natural sciences"}]}, "item_1617187056579": {"attribute_name": "Bibliographic Information", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "1975-09-01", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "20", "bibliographicPageEnd": "6", "bibliographicPageStart": "5"}]}, "item_1617258105262": {"attribute_name": "Resource Type", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_1617265215918": {"attribute_name": "Version Type", "attribute_value_mlt": [{"subitem_1522305645492": "NA", "subitem_1600292170262": "http://purl.org/coar/version/c_be7fb7dd8ff6fe43"}]}, "item_1617605131499": {"attribute_name": "File", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_access", "download_preview_message": "", "file_order": 0, "filename": "No20p005.pdf", "future_date_message": "", "is_thumbnail": false, "mimetype": "", "size": 0, "url": {"objectType": "fulltext", "url": "https://u-ryukyu.repo.nii.ac.jp/record/2006981/files/No20p005.pdf"}, "version_id": "29ed5add-98da-4166-a0f3-89f261876c50"}]}, "item_title": "Quadratic non-residues on extended Riemann hypothesis", "item_type_id": "15", "owner": "1", "path": ["1642837999752", "1642838406414"], "permalink_uri": "http://hdl.handle.net/20.500.12000/23521", "pubdate": {"attribute_name": "PubDate", "attribute_value": "2012-02-28"}, "publish_date": "2012-02-28", "publish_status": "0", "recid": "2006981", "relation": {}, "relation_version_is_last": true, "title": ["Quadratic non-residues on extended Riemann hypothesis"], "weko_shared_id": -1}