{"@context":{"@vocab":"https://cir.nii.ac.jp/schema/1.0/","rdfs":"http://www.w3.org/2000/01/rdf-schema#","dc":"http://purl.org/dc/elements/1.1/","dcterms":"http://purl.org/dc/terms/","foaf":"http://xmlns.com/foaf/0.1/","prism":"http://prismstandard.org/namespaces/basic/2.0/","cinii":"http://ci.nii.ac.jp/ns/1.0/","datacite":"https://schema.datacite.org/meta/kernel-4/","ndl":"http://ndl.go.jp/dcndl/terms/","jpcoar":"https://github.com/JPCOAR/schema/blob/master/2.0/"},"@id":"https://cir.nii.ac.jp/crid/1050574201779769728.json","@type":"Article","productIdentifier":[{"identifier":{"@type":"HDL","@value":"http://hdl.handle.net/20.500.12000/23521"}},{"identifier":{"@type":"URI","@value":"https://u-ryukyu.repo.nii.ac.jp/records/2006981"}},{"identifier":{"@type":"NDL_BIB_ID","@value":"1684824"}},{"identifier":{"@type":"URI","@value":"http://id.ndl.go.jp/bib/1684824"}},{"identifier":{"@type":"URI","@value":"https://ndlsearch.ndl.go.jp/books/R000000004-I1684824"}},{"identifier":{"@type":"NAID","@value":"40004030836"}}],"resourceType":"紀要論文(departmental bulletin paper)","dc:title":[{"@language":"en","@value":"Quadratic non-residues on extended Riemann hypothesis"},{"@language":"ja-Kana","@value":"Quadratic non residues on extended Riem"}],"dc:language":"en","description":[{"type":"Other","notation":[{"@value":"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^<1/4+ε |X ( n ) =-1}> k^<(1/4+ε)/2-s>, [ k≧k＿o(ε, S)] if k is cubefree and #{1≦n≦k^<3/8+ε> |x(n)=-1} ＞k^<(3/8+ε)/2-S>,[k≧k_o(ε,S)] otherwise, whereε and S are any positive real numbers."}]},{"type":"Other","notation":[{"@value":"紀要論文"}]}],"creator":[{"@id":"https://cir.nii.ac.jp/crid/1070574201779769728","@type":"Researcher","personIdentifier":[{"@type":"NRID","@value":"9000008915504"}],"foaf:name":[{"@language":"en","@value":"Takaku, Akira"}]}],"publication":{"publicationIdentifier":[{"@type":"NDL_BIB_ID","@value":"000000026705"},{"@type":"ISSN","@value":"03874281"},{"@type":"LISSN","@value":"03874281"},{"@type":"NCID","@value":"AN0025080X"}],"prism:publicationName":[{"@language":"ja","@value":"琉球大学理工学部紀要. 理学編"},{"@language":"en","@value":"Bulletin of Science & Engineering Division, University of Ryukyus. Mathematics & natural sciences"}],"dc:publisher":[{"@value":"琉球大学理工学部"},{"@value":"Science and Engineering Division, University of the Ryukyus"}],"prism:publicationDate":"1975-09-01","prism:number":"20","prism:startingPage":"5","prism:endingPage":"6"},"dcterms:accessRights":"http://purl.org/coar/access_right/c_abf2","url":[{"@id":"https://u-ryukyu.repo.nii.ac.jp/records/2006981"},{"@id":"http://id.ndl.go.jp/bib/1684824"},{"@id":"https://ndlsearch.ndl.go.jp/books/R000000004-I1684824"},{"@id":"http://hdl.handle.net/20.500.12000/23521"}],"dataSourceIdentifier":[{"@type":"IRDB","@value":"oai:irdb.nii.ac.jp:00846:0005403855"},{"@type":"NDL_SEARCH","@value":"oai:ndlsearch.ndl.go.jp:R000000004-I1684824"},{"@type":"CIA","@value":"40004030836"}]}