{"id":"https://openalex.org/W4385143079","doi":"https://doi.org/10.1007/978-3-031-37940-6_4","title":"An Algorithm for\u00a0Solving Two Variable Linear Diophantine Equations","display_name":"An Algorithm for\u00a0Solving Two Variable Linear Diophantine Equations","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4385143079","doi":"https://doi.org/10.1007/978-3-031-37940-6_4"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-37940-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-37940-6_4","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5102845275","display_name":"Mayank Deora","orcid":"https://orcid.org/0000-0003-2041-2160"},"institutions":[{"id":"https://openalex.org/I6498739","display_name":"Indian Statistical Institute","ror":"https://ror.org/00q2w1j53","country_code":"IN","type":"education","lineage":["https://openalex.org/I6498739"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Mayank Deora","raw_affiliation_strings":["Indian Statistical Institute Kolkata, Kolkata, India"],"affiliations":[{"raw_affiliation_string":"Indian Statistical Institute Kolkata, Kolkata, India","institution_ids":["https://openalex.org/I6498739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102845275"],"corresponding_institution_ids":["https://openalex.org/I6498739"],"apc_list":null,"apc_paid":null,"fwci":1.0049,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.76931712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"35","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.90420001745224,"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":0.90420001745224,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.9020888805389404},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.7079935669898987},{"id":"https://openalex.org/keywords/multiplicative-inverse","display_name":"Multiplicative inverse","score":0.6943530440330505},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6492939591407776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6194384098052979},{"id":"https://openalex.org/keywords/cornacchias-algorithm","display_name":"Cornacchia's algorithm","score":0.6171994805335999},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5829042792320251},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5623398423194885},{"id":"https://openalex.org/keywords/diophantine-set","display_name":"Diophantine set","score":0.5009617805480957},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4855896830558777},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.47877562046051025},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4643701910972595},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.38869279623031616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30800342559814453},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24820518493652344},{"id":"https://openalex.org/keywords/ramer\u2013douglas\u2013peucker-algorithm","display_name":"Ramer\u2013Douglas\u2013Peucker algorithm","score":0.12603741884231567},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12495282292366028},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08140954375267029}],"concepts":[{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.9020888805389404},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.7079935669898987},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.6943530440330505},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6492939591407776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6194384098052979},{"id":"https://openalex.org/C98059654","wikidata":"https://www.wikidata.org/wiki/Q5171072","display_name":"Cornacchia's algorithm","level":4,"score":0.6171994805335999},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5829042792320251},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5623398423194885},{"id":"https://openalex.org/C40621787","wikidata":"https://www.wikidata.org/wiki/Q16251580","display_name":"Diophantine set","level":3,"score":0.5009617805480957},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4855896830558777},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.47877562046051025},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4643701910972595},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.38869279623031616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30800342559814453},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24820518493652344},{"id":"https://openalex.org/C75930677","wikidata":"https://www.wikidata.org/wiki/Q1251950","display_name":"Ramer\u2013Douglas\u2013Peucker algorithm","level":3,"score":0.12603741884231567},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12495282292366028},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08140954375267029},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-37940-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-37940-6_4","pdf_url":null,"source":{"id":"https://openalex.org/S2764900261","display_name":"Communications in computer and information science","issn_l":"1865-0929","issn":["1865-0929","1865-0937"],"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":"Communications in Computer and Information Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W635389166","https://openalex.org/W2996335208","https://openalex.org/W4253131219","https://openalex.org/W6827106113"],"related_works":["https://openalex.org/W2019242178","https://openalex.org/W2110759722","https://openalex.org/W1799780713","https://openalex.org/W2795416216","https://openalex.org/W3021675777","https://openalex.org/W2016416448","https://openalex.org/W4385266593","https://openalex.org/W2091550507","https://openalex.org/W1997777319","https://openalex.org/W2253817964"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-01-20T23:28:44.954186","created_date":"2025-10-10T00:00:00"}