{"id":"https://openalex.org/W2071036577","doi":"https://doi.org/10.1080/10586458.2003.10504493","title":"Computation of the Fundamental Units and the Regulator of a Cyclic Cubic Function Field","display_name":"Computation of the Fundamental Units and the Regulator of a Cyclic Cubic Function Field","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W2071036577","doi":"https://doi.org/10.1080/10586458.2003.10504493","mag":"2071036577"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2003.10504493","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2003.10504493","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/A5100644394","display_name":"Yoonjin Lee","orcid":"https://orcid.org/0000-0001-9510-3691"},"institutions":[{"id":"https://openalex.org/I202524275","display_name":"Smith College","ror":"https://ror.org/0497crr92","country_code":"US","type":"education","lineage":["https://openalex.org/I202524275"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Y. Lee","raw_affiliation_strings":["\n Department of Mathematics, Clark Science Center, Smith College, Northampton, MA, 01063 E-mail: yjlee@smith.edu","Department of Mathematics , Clark Science Center, Smith College , Northampton , MA , 01063 E-mail: yjlee@smith.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics, Clark Science Center, Smith College, Northampton, MA, 01063 E-mail: yjlee@smith.edu","institution_ids":["https://openalex.org/I202524275"]},{"raw_affiliation_string":"Department of Mathematics , Clark Science Center, Smith College , Northampton , MA , 01063 E-mail: yjlee@smith.edu","institution_ids":["https://openalex.org/I202524275"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066623074","display_name":"Renate Scheidler","orcid":"https://orcid.org/0000-0001-7164-8769"},"institutions":[{"id":"https://openalex.org/I168635309","display_name":"University of Calgary","ror":"https://ror.org/03yjb2x39","country_code":"CA","type":"education","lineage":["https://openalex.org/I168635309"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"R. Scheidler","raw_affiliation_strings":["\n Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada E-mail: rscheidl@math.ucalgary.ca","Department of Mathematics and Statistics , University of Calgary, 2500 University Drive N.W. , Calgary , AB , T2N 1N4 , Canada E-mail: rscheidl@math.ucalgary.ca"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics and Statistics, University of Calgary, 2500 University Drive N.W., Calgary, AB, T2N 1N4, Canada E-mail: rscheidl@math.ucalgary.ca","institution_ids":["https://openalex.org/I168635309"]},{"raw_affiliation_string":"Department of Mathematics and Statistics , University of Calgary, 2500 University Drive N.W. , Calgary , AB , T2N 1N4 , Canada E-mail: rscheidl@math.ucalgary.ca","institution_ids":["https://openalex.org/I168635309"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5098327460","display_name":"C. Yarrish","orcid":null},"institutions":[{"id":"https://openalex.org/I2800386561","display_name":"Harrisburg Area Community College","ror":"https://ror.org/002j9jj25","country_code":"US","type":"education","lineage":["https://openalex.org/I2800386561"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Yarrish","raw_affiliation_strings":["\n Harrisburg Area Community College, One HACC Drive, Harrisburg, PA, 17110-2999 E-mail: cyarrish@hacc.edu","Harrisburg Area Community College, One HACC Drive , Harrisburg , PA , 17110-2999 E-mail: cyarrish@hacc.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Harrisburg Area Community College, One HACC Drive, Harrisburg, PA, 17110-2999 E-mail: cyarrish@hacc.edu","institution_ids":["https://openalex.org/I2800386561"]},{"raw_affiliation_string":"Harrisburg Area Community College, One HACC Drive , Harrisburg , PA , 17110-2999 E-mail: cyarrish@hacc.edu","institution_ids":["https://openalex.org/I2800386561"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4688,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.74673248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"12","issue":"2","first_page":"211","last_page":"225"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9973000288009644,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7669622898101807},{"id":"https://openalex.org/keywords/voronoi-diagram","display_name":"Voronoi diagram","score":0.6230431795120239},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6032767295837402},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.5834587812423706},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5726915001869202},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.568263053894043},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.5063773393630981},{"id":"https://openalex.org/keywords/cubic-function","display_name":"Cubic function","score":0.48243388533592224},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.47733694314956665},{"id":"https://openalex.org/keywords/cubic-form","display_name":"Cubic form","score":0.47709351778030396},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.42819416522979736},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32734882831573486},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.316062867641449},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.30896711349487305},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2399657666683197},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23891502618789673},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2040596902370453},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15055081248283386}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7669622898101807},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.6230431795120239},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6032767295837402},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.5834587812423706},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5726915001869202},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.568263053894043},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.5063773393630981},{"id":"https://openalex.org/C65559279","wikidata":"https://www.wikidata.org/wiki/Q16667694","display_name":"Cubic function","level":2,"score":0.48243388533592224},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.47733694314956665},{"id":"https://openalex.org/C91429207","wikidata":"https://www.wikidata.org/wiki/Q5192245","display_name":"Cubic form","level":2,"score":0.47709351778030396},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.42819416522979736},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32734882831573486},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.316062867641449},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.30896711349487305},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2399657666683197},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23891502618789673},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2040596902370453},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15055081248283386},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2003.10504493","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2003.10504493","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:CULeuclid:euclid.em/1067634732","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1067634732","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1554540993","https://openalex.org/W1557415002","https://openalex.org/W1587781051","https://openalex.org/W1819444007","https://openalex.org/W1993844643","https://openalex.org/W2024805425","https://openalex.org/W2047399281","https://openalex.org/W2086845931","https://openalex.org/W2091929112","https://openalex.org/W2910807101","https://openalex.org/W4213347976"],"related_works":["https://openalex.org/W1975360354","https://openalex.org/W2020114450","https://openalex.org/W2953360005","https://openalex.org/W2900315046","https://openalex.org/W4298067749","https://openalex.org/W1142877830","https://openalex.org/W3006542548","https://openalex.org/W2096414734","https://openalex.org/W2981463079","https://openalex.org/W2378437112"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"algorithms":[3],"for":[4],"computing":[5],"the":[6,10,56,66],"two":[7,57],"fundamental\\nunits":[8],"and":[9,64],"regulator":[11],"of":[12,17,24,48],"a":[13,18,22,34,69],"cyclic":[14],"cubic":[15,45],"extension":[16,67],"rational\\nfunction":[19],"field":[20,23],"over":[21],"order":[25],"{$q":[26],"\\\\equiv":[27],"1":[28],"\\\\pmod{3}$}.":[29],"The\\nprocedure":[30],"is":[31],"based":[32],"on":[33],"method":[35],"originally":[36],"due":[37],"to":[38,43],"Voronoi":[39],"that":[40,55],"was\\nrecently":[41],"adapted":[42],"purely":[44],"function":[46],"fields":[47],"unit":[49],"rank":[50],"one.\\nOur":[51],"numerical":[52],"examples":[53],"show":[54],"fundamental":[58],"units":[59],"tend":[60],"to\\nhave":[61],"large":[62],"degree,":[63],"frequently,":[65],"has":[68],"very":[70],"small\\nideal":[71],"class":[72],"number.":[73]},"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
