{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-QS3ME9M1/4780e0e5-2af9-498d-8856-c5a81c2ee877/PDF","dcterms:extent":"494 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-QS3ME9M1/7e24863f-4422-4c68-b7b7-776962036f57/TEXT","dcterms:extent":"49 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-QS3ME9M1","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2019","dc:creator":["Csajbók, Bence","Marino, Giuseppe","Polverino, Olga"],"dc:format":[{"@xml:lang":"sl","#text":"letnik:16"},{"@xml:lang":"sl","#text":"številka:2"},{"@xml:lang":"sl","#text":"str. 585-608"}],"dc:identifier":["ISSN:1855-3966","COBISSID_HOST:18813529","URN:URN:NBN:SI:doc-QS3ME9M1"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"direction"},{"@xml:lang":"en","#text":"linear set"},{"@xml:lang":"en","#text":"linearized polynomial"},{"@xml:lang":"sl","#text":"linearizirani polinom"},{"@xml:lang":"sl","#text":"linearna množica"},{"@xml:lang":"sl","#text":"smer"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"A Carlitz type result for linearized polynomials|"},"dc:description":[{"@xml:lang":"sl","#text":"For an arbitrary ?$q$?-polynomial ?$f$? over ?$\\mathbb F_{q^n}$? we study the problem of finding those ?$q$?-polynomials ?$g$? over ?$\\mathbb F_{q^n}$? for which the image sets of ?$f(x)/x$? and ?$g(x)/x$? coincide. For ?$n \\leq 5$? we provide sufficient and necessary conditions and then apply our result to study maximum scattered linear sets of ?$\\mathrm{PG}(1, q^5)$?"},{"@xml:lang":"sl","#text":"Za vsak ?$q$?-polinom ?$f$? nad ?$\\mathbb F_{q^n}$? obravnavamo problem iskanja tistih ?$q$?-polinomov ?$g$? nad ?$\\mathbb F_{q^n}$?, za katere množici slik funkcij ?$f(x)/x$? in ?$f(x)/x$? sovpadata. Za ?$n \\leq 5$? podamo potrebne in zadostne pogoje in nato uporabimo naš rezultat pri obravnavi maksimalno razpršenih linearnih množic iz ?$\\mathrm{PG}(1, q^5)$?"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-QS3ME9M1","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-QS3ME9M1"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-QS3ME9M1/4780e0e5-2af9-498d-8856-c5a81c2ee877/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-QS3ME9M1/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-QS3ME9M1"}}}}