{"id":"https://openalex.org/W1529687384","doi":"https://doi.org/10.1007/978-3-540-74143-5_21","title":"Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach","display_name":"Finding Small Roots of Bivariate Integer Polynomial Equations: A Direct Approach","publication_year":2007,"publication_date":"2007-08-09","ids":{"openalex":"https://openalex.org/W1529687384","doi":"https://doi.org/10.1007/978-3-540-74143-5_21","mag":"1529687384"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74143-5_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-74143-5_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-74143-5_21.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-74143-5_21.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110153809","display_name":"Jean-S\u00e9bastien Coron","orcid":"https://orcid.org/0000-0003-1021-3344"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":true,"raw_author_name":"Jean-S\u00e9bastien Coron","raw_affiliation_strings":["University of Luxembourg, \u00a0","University of, Luxembourg#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Luxembourg, \u00a0","institution_ids":["https://openalex.org/I186903577"]},{"raw_affiliation_string":"University of, Luxembourg#TAB#","institution_ids":["https://openalex.org/I186903577"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110153809"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.0778,"has_fulltext":true,"cited_by_count":47,"citation_normalized_percentile":{"value":0.94917305,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"379","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9998000264167786,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.991100013256073,"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/bivariate-analysis","display_name":"Bivariate analysis","score":0.8498883247375488},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7313588261604309},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6386900544166565},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.627249538898468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4470043182373047},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2325306534767151},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20940035581588745},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12546101212501526}],"concepts":[{"id":"https://openalex.org/C64341305","wikidata":"https://www.wikidata.org/wiki/Q4919225","display_name":"Bivariate analysis","level":2,"score":0.8498883247375488},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7313588261604309},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6386900544166565},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.627249538898468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4470043182373047},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2325306534767151},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20940035581588745},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12546101212501526},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-540-74143-5_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-74143-5_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-74143-5_21.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.414.9610","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.414.9610","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iacr.org/cryptodb/archive/2004/EUROCRYPT/2177/2177.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.667.8727","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.667.8727","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://jscoron.fr/publications/cop2007.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/978-3-540-74143-5_21","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-540-74143-5_21","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F978-3-540-74143-5_21.pdf","source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1529687384.pdf","grobid_xml":"https://content.openalex.org/works/W1529687384.grobid-xml"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1495266644","https://openalex.org/W1517148864","https://openalex.org/W1532770887","https://openalex.org/W1538302378","https://openalex.org/W1550863203","https://openalex.org/W1553510179","https://openalex.org/W1562208741","https://openalex.org/W1602865989","https://openalex.org/W1749471906","https://openalex.org/W1841270112","https://openalex.org/W1871879997","https://openalex.org/W1928437544","https://openalex.org/W1985138225","https://openalex.org/W2010504984","https://openalex.org/W2019689629","https://openalex.org/W2101040389","https://openalex.org/W2101059923","https://openalex.org/W2124797898","https://openalex.org/W2141040012","https://openalex.org/W2144862055","https://openalex.org/W2147906334","https://openalex.org/W2477011922","https://openalex.org/W2478032277","https://openalex.org/W2478433202","https://openalex.org/W2482419090","https://openalex.org/W2484860292","https://openalex.org/W2490262601","https://openalex.org/W2493993829","https://openalex.org/W2494421621","https://openalex.org/W2497843319","https://openalex.org/W2503514047","https://openalex.org/W2561675875","https://openalex.org/W2602645338","https://openalex.org/W2619633776","https://openalex.org/W2912926260","https://openalex.org/W2978050809","https://openalex.org/W3014595144","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W1721599012","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2901858382","https://openalex.org/W2142036596","https://openalex.org/W91521151"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
