{"id":"https://openalex.org/W1993787052","doi":"https://doi.org/10.2140/involve.2014.7.627","title":"Counting matrices over a finite field with all eigenvalues in the field","display_name":"Counting matrices over a finite field with all eigenvalues in the field","publication_year":2014,"publication_date":"2014-08-01","ids":{"openalex":"https://openalex.org/W1993787052","doi":"https://doi.org/10.2140/involve.2014.7.627","mag":"1993787052"},"language":"en","primary_location":{"id":"doi:10.2140/involve.2014.7.627","doi":"https://doi.org/10.2140/involve.2014.7.627","is_oa":true,"landing_page_url":"https://doi.org/10.2140/involve.2014.7.627","pdf_url":"http://msp.org/involve/2014/7-5/involve-v7-n5-p05-s.pdf","source":{"id":"https://openalex.org/S4210179254","display_name":"Involve a Journal of Mathematics","issn_l":"1944-4176","issn":["1944-4176","1944-4184"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320446","host_organization_name":"Mathematical Sciences Publishers","host_organization_lineage":["https://openalex.org/P4310320446"],"host_organization_lineage_names":["Mathematical Sciences Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Involve, a Journal of Mathematics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"http://msp.org/involve/2014/7-5/involve-v7-n5-p05-s.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021599146","display_name":"Lisa Kaylor","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I40189715","display_name":"Westminster College - Pennsylvania","ror":"https://ror.org/01j1cwt71","country_code":"US","type":"education","lineage":["https://openalex.org/I40189715"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lisa Kaylor","raw_affiliation_strings":["Department of Mathematics and Computer Science, Westminster College, 319 South Market Street, New Wilmington, PA 16142, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Westminster College, 319 South Market Street, New Wilmington, PA 16142, United States","institution_ids":["https://openalex.org/I40189715"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006162887","display_name":"David Offner","orcid":"https://orcid.org/0000-0002-3413-7991","observed_orcids":["https://orcid.org/0000-0002-3413-7991"]},"institutions":[{"id":"https://openalex.org/I40189715","display_name":"Westminster College - Pennsylvania","ror":"https://ror.org/01j1cwt71","country_code":"US","type":"education","lineage":["https://openalex.org/I40189715"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Offner","raw_affiliation_strings":["Department of Mathematics and Computer Science, Westminster College, 319 South Market Street, New Wilmington, PA 16142, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Westminster College, 319 South Market Street, New Wilmington, PA 16142, United States","institution_ids":["https://openalex.org/I40189715"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I40189715"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.0743916,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":96},"biblio":{"volume":"7","issue":"5","first_page":"627","last_page":"645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8163999915122986,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.8163999915122986,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.1006999984383583,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.035100001841783524,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/matrices-over-finite-fields","display_name":"matrices over finite fields","score":0.8610000014305115},{"id":"https://openalex.org/keywords/counting-matrices","display_name":"counting matrices","score":0.828000009059906},{"id":"https://openalex.org/keywords/matrix-eigenvalues","display_name":"matrix eigenvalues","score":0.453000009059906},{"id":"https://openalex.org/keywords/finite-fields","display_name":"finite fields","score":0.4359999895095825}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.7106010317802429},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.6636531949043274},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5517633557319641},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4326309561729431},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3568512797355652},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2566547393798828},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1780318319797516},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1321088969707489}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2140/involve.2014.7.627","doi":"https://doi.org/10.2140/involve.2014.7.627","is_oa":true,"landing_page_url":"https://doi.org/10.2140/involve.2014.7.627","pdf_url":"http://msp.org/involve/2014/7-5/involve-v7-n5-p05-s.pdf","source":{"id":"https://openalex.org/S4210179254","display_name":"Involve a Journal of Mathematics","issn_l":"1944-4176","issn":["1944-4176","1944-4184"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320446","host_organization_name":"Mathematical Sciences Publishers","host_organization_lineage":["https://openalex.org/P4310320446"],"host_organization_lineage_names":["Mathematical Sciences Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Involve, a Journal of Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.involve/1513733722","doi":null,"is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.involve/1513733722","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,"listed_in":[],"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":{"id":"doi:10.2140/involve.2014.7.627","doi":"https://doi.org/10.2140/involve.2014.7.627","is_oa":true,"landing_page_url":"https://doi.org/10.2140/involve.2014.7.627","pdf_url":"http://msp.org/involve/2014/7-5/involve-v7-n5-p05-s.pdf","source":{"id":"https://openalex.org/S4210179254","display_name":"Involve a Journal of Mathematics","issn_l":"1944-4176","issn":["1944-4176","1944-4184"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1"],"host_organization":"https://openalex.org/P4310320446","host_organization_name":"Mathematical Sciences Publishers","host_organization_lineage":["https://openalex.org/P4310320446"],"host_organization_lineage_names":["Mathematical Sciences Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Involve, a Journal of Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1993787052.pdf","grobid_xml":"https://content.openalex.org/works/W1993787052.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1579213680","https://openalex.org/W2127885068","https://openalex.org/W2312505564","https://openalex.org/W2317243335","https://openalex.org/W2790712096","https://openalex.org/W3043060850","https://openalex.org/W4229797781","https://openalex.org/W4250918462","https://openalex.org/W4254660365"],"related_works":["https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049","https://openalex.org/W2271181815"],"abstract_inverted_index":{"Communicated":[0],"by":[1],"Kenneth":[2],"S":[3]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-09-06T09:10:53.072986","created_date":"2025-10-10T00:00:00"}
