{"id":"https://openalex.org/W1971222763","doi":"https://doi.org/10.1145/2090236.2090269","title":"On the degree of univariate polynomials over the integers","display_name":"On the degree of univariate polynomials over the integers","publication_year":2012,"publication_date":"2012-01-08","ids":{"openalex":"https://openalex.org/W1971222763","doi":"https://doi.org/10.1145/2090236.2090269","mag":"1971222763"},"language":"en","primary_location":{"id":"doi:10.1145/2090236.2090269","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2090236.2090269","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd Innovations in Theoretical Computer Science Conference","raw_type":"proceedings-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/A5018113933","display_name":"Gil Cohen","orcid":"https://orcid.org/0000-0002-1173-0338"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Gil Cohen","raw_affiliation_strings":["The Weizmann Institute of Science, Rehovot, Israel"],"affiliations":[{"raw_affiliation_string":"The Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004182247","display_name":"Amir Shpilka","orcid":"https://orcid.org/0000-0003-2384-425X"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]},{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["IL","US"],"is_corresponding":false,"raw_author_name":"Amir Shpilka","raw_affiliation_strings":["Technion-Israel Institute of Technology, Haifa, Israel and Microsoft Research, Cambridge MA","Technion-Israel Institute of Technology, Haifa, Israel and Microsoft Research, Cambridge MA#TAB#"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology, Haifa, Israel and Microsoft Research, Cambridge MA","institution_ids":["https://openalex.org/I174306211","https://openalex.org/I1290206253"]},{"raw_affiliation_string":"Technion-Israel Institute of Technology, Haifa, Israel and Microsoft Research, Cambridge MA#TAB#","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049425955","display_name":"Avishay Tal","orcid":"https://orcid.org/0000-0002-0375-6554"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Avishay Tal","raw_affiliation_strings":["Technion-Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5018113933"],"corresponding_institution_ids":["https://openalex.org/I53964585"],"apc_list":null,"apc_paid":null,"fwci":0.5829,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.57158912,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"409","last_page":"427"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9991000294685364,"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/univariate","display_name":"Univariate","score":0.7323346138000488},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6772680878639221},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4420855641365051},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41897502541542053},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4087240397930145},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3993833363056183},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.32917797565460205},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.21264976263046265},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12968239188194275},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.08097171783447266}],"concepts":[{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.7323346138000488},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6772680878639221},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4420855641365051},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41897502541542053},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4087240397930145},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3993833363056183},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.32917797565460205},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.21264976263046265},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12968239188194275},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.08097171783447266},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2090236.2090269","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2090236.2090269","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 3rd Innovations in Theoretical Computer Science Conference","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4325370806","display_name":null,"funder_award_id":"339/10","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1499237070","https://openalex.org/W1603725627","https://openalex.org/W2006252547","https://openalex.org/W2006825591","https://openalex.org/W2009994177","https://openalex.org/W2012496360","https://openalex.org/W2013408443","https://openalex.org/W2034681107","https://openalex.org/W2042194938","https://openalex.org/W2059998776","https://openalex.org/W2063003848","https://openalex.org/W2070678975","https://openalex.org/W2073107304","https://openalex.org/W2094054391","https://openalex.org/W2102237584","https://openalex.org/W2147154704","https://openalex.org/W2178934104","https://openalex.org/W2328598177","https://openalex.org/W2417052859","https://openalex.org/W2751862591","https://openalex.org/W3021328737","https://openalex.org/W4234359518","https://openalex.org/W4240666298","https://openalex.org/W4301005547"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1828158523","https://openalex.org/W2047547195","https://openalex.org/W204175656","https://openalex.org/W2911841387","https://openalex.org/W2803255289","https://openalex.org/W1512294453","https://openalex.org/W1993992974","https://openalex.org/W2550734047","https://openalex.org/W2176526134"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2],"following":[3],"problem":[4],"raised":[5],"by":[6],"von":[7],"zur":[8],"Gathen":[9],"and":[10],"Roche":[11],"[GR97]:":[12]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
