{"id":"https://openalex.org/W2011946797","doi":"https://doi.org/10.1016/s0885-064x(03)00047-5","title":"Use of algebraically independent numbers for zero recognition of polynomial terms","display_name":"Use of algebraically independent numbers for zero recognition of polynomial terms","publication_year":2003,"publication_date":"2003-07-16","ids":{"openalex":"https://openalex.org/W2011946797","doi":"https://doi.org/10.1016/s0885-064x(03)00047-5","mag":"2011946797"},"language":"en","primary_location":{"id":"doi:10.1016/s0885-064x(03)00047-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0885-064x(03)00047-5","pdf_url":null,"source":{"id":"https://openalex.org/S42286584","display_name":"Journal of Complexity","issn_l":"0885-064X","issn":["0885-064X","1090-2708"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complexity","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/A5082166356","display_name":"Daniel Richardson","orcid":"https://orcid.org/0000-0001-7852-5657"},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Daniel Richardson","raw_affiliation_strings":["Department of Computer Science, Bath University, Bath BA2 7AY, UK","Department of Computer Science, Bath University, Bath BA2 7AY, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Bath University, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"Department of Computer Science, Bath University, Bath BA2 7AY, UK#TAB#","institution_ids":["https://openalex.org/I51601045"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035819818","display_name":"Ahmed A. Elsonbaty","orcid":null},"institutions":[{"id":"https://openalex.org/I51601045","display_name":"University of Bath","ror":"https://ror.org/002h8g185","country_code":"GB","type":"education","lineage":["https://openalex.org/I51601045"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Ahmed El-Sonbaty","raw_affiliation_strings":["Department of Computer Science, Bath University, Bath BA2 7AY, UK","Department of Computer Science, Bath University, Bath BA2 7AY, UK#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Bath University, Bath BA2 7AY, UK","institution_ids":["https://openalex.org/I51601045"]},{"raw_affiliation_string":"Department of Computer Science, Bath University, Bath BA2 7AY, UK#TAB#","institution_ids":["https://openalex.org/I51601045"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082166356"],"corresponding_institution_ids":["https://openalex.org/I51601045"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":1.0997,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76906917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"5","first_page":"631","last_page":"637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9936000108718872,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9936000108718872,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9929999709129333,"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/T10237","display_name":"Cryptography and Data Security","score":0.9898999929428101,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8334509134292603},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.6146987080574036},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.6118363738059998},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5760741233825684},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5357270836830139},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4998006820678711},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.47083616256713867},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45822015404701233},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.43268153071403503},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.42795857787132263},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.42152321338653564},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10977861285209656}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8334509134292603},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6146987080574036},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6118363738059998},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5760741233825684},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5357270836830139},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4998006820678711},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.47083616256713867},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45822015404701233},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.43268153071403503},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.42795857787132263},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.42152321338653564},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10977861285209656},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0885-064x(03)00047-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0885-064x(03)00047-5","pdf_url":null,"source":{"id":"https://openalex.org/S42286584","display_name":"Journal of Complexity","issn_l":"0885-064X","issn":["0885-064X","1090-2708"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complexity","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W136264155","https://openalex.org/W1592627023","https://openalex.org/W1593562194","https://openalex.org/W1605256314","https://openalex.org/W1984777611","https://openalex.org/W2005536816","https://openalex.org/W2024707788","https://openalex.org/W2050306584","https://openalex.org/W2060520271","https://openalex.org/W2063118073","https://openalex.org/W2109873972","https://openalex.org/W2130566259","https://openalex.org/W2964183068"],"related_works":["https://openalex.org/W3093936885","https://openalex.org/W2994146737","https://openalex.org/W3194471551","https://openalex.org/W295308437","https://openalex.org/W2992046671","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W2106539092","https://openalex.org/W4205300683"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}