{"id":"https://openalex.org/W3206287621","doi":"https://doi.org/10.1080/10586458.2021.1982425","title":"The Reciprocal Algebraic Integers Having Small House","display_name":"The Reciprocal Algebraic Integers Having Small House","publication_year":2021,"publication_date":"2021-10-11","ids":{"openalex":"https://openalex.org/W3206287621","doi":"https://doi.org/10.1080/10586458.2021.1982425","mag":"3206287621"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.1982425","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1982425","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071532100","display_name":"Dragan Stankov","orcid":"https://orcid.org/0000-0001-9394-9247"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Dragan Stankov","raw_affiliation_strings":["Katedra Matematike RGF-a 11000 Beograd, \u00d0u\u0161ina 7, Serbia"],"affiliations":[{"raw_affiliation_string":"Katedra Matematike RGF-a 11000 Beograd, \u00d0u\u0161ina 7, Serbia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071532100"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15169213,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"4","first_page":"673","last_page":"682"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8919674158096313},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.6852457523345947},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.6659500598907471},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.613039493560791},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5988905429840088},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5632245540618896},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.522491991519928},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4935415983200073},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4294905960559845},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09683892130851746}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8919674158096313},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.6852457523345947},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.6659500598907471},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.613039493560791},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5988905429840088},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5632245540618896},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.522491991519928},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4935415983200073},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4294905960559845},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09683892130851746},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2021.1982425","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.1982425","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dr.rgf.bg.ac.rs:5099","is_oa":false,"landing_page_url":"https://www.tandfonline.com/doi/full/10.1080/10586458.2021.1982425","pdf_url":null,"source":{"id":"https://openalex.org/S7407055281","display_name":"Dr RGF - RGF Repository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Experimental Mathematics","raw_type":"\u043e\u0431\u0458\u0430\u0432\u0459\u0435\u043d\u0430 \u0432\u0435\u0440\u0437\u0438\u0458\u0430"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6800000071525574,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W89122325","https://openalex.org/W1971436047","https://openalex.org/W1981675591","https://openalex.org/W2008522364","https://openalex.org/W2012963516","https://openalex.org/W2044693577","https://openalex.org/W2049160253","https://openalex.org/W2052028765","https://openalex.org/W2115026042","https://openalex.org/W2579880299","https://openalex.org/W2594007642","https://openalex.org/W2930574862","https://openalex.org/W2962804316","https://openalex.org/W2997192637","https://openalex.org/W3103965087","https://openalex.org/W4206167679"],"related_works":["https://openalex.org/W2399505800","https://openalex.org/W2018253224","https://openalex.org/W333749553","https://openalex.org/W1966623661","https://openalex.org/W2942288111","https://openalex.org/W2391753177","https://openalex.org/W2951675266","https://openalex.org/W2039516134","https://openalex.org/W1509594480","https://openalex.org/W1895124089"],"abstract_inverted_index":{"Let":[0],"\u03b1":[1,13],"be":[2],"a":[3,42,45,94,101,105],"reciprocal":[4,30,48,97],"algebraic":[5,31],"integer":[6],"of":[7,12,18,25,28,33,44,90,93,96,107],"degree":[8,34,47],"d.":[9],"The":[10,80],"house":[11,92],"is":[14,41,71],"the":[15,23,26,37,91],"largest":[16],"modulus":[17],"its":[19],"conjugates.":[20],"We":[21,67,85,103],"compute":[22],"minimum":[24],"houses":[27],"all":[29],"integers":[32],"d":[35,60],"having":[36],"minimal":[38],"polynomial":[39,51],"which":[40],"factor":[43],"Dth":[46],"or":[49],"antireciprocal":[50,108],"with":[52],"at":[53,61],"most":[54,62],"eight":[55],"monomials,":[56],"say":[57],"mr(d),":[58],"for":[59],"180,":[63],"D\u22641.5d":[64],"and":[65],"D\u2264210.":[66],"show":[68,86],"that":[69,87],"it":[70],"not":[72],"necessary":[73],"to":[74],"take":[75],"into":[76],"account":[77],"imprimitive":[78],"polynomials.":[79],"computations":[81],"suggest":[82],"several":[83],"conjectures.":[84],"d-th":[88],"power":[89],"sequence":[95],"primitive":[98],"polynomials":[99],"has":[100],"limit.":[102],"present":[104],"property":[106],"hexanomials.":[109]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2021-10-25T00:00:00"}