{"id":"https://openalex.org/W1991958720","doi":"https://doi.org/10.1080/10586458.2008.10129020","title":"Strong Diophantine Triples","display_name":"Strong Diophantine Triples","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W1991958720","doi":"https://doi.org/10.1080/10586458.2008.10129020","mag":"1991958720"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2008.10129020","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2008.10129020","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5079661415","display_name":"Andrej Dujella","orcid":"https://orcid.org/0000-0001-6867-5811"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Andrej Dujella","raw_affiliation_strings":["Department of Mathematics, University of Zagreb, Bijeni\u010dcka cesta 30, 10000 Zagreb, Croatia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Zagreb, Bijeni\u010dcka cesta 30, 10000 Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046345877","display_name":"Vinko Petri\u010dcevi\u0107","orcid":null},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Vinko Petri\u010dcevi\u0107","raw_affiliation_strings":["Department of Mathematics, University of Zagreb, Bijeni\u010dcka cesta 30, 10000 Zagreb, Croatia"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Zagreb, Bijeni\u010dcka cesta 30, 10000 Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079661415"],"corresponding_institution_ids":["https://openalex.org/I181343428"],"apc_list":null,"apc_paid":null,"fwci":0.5278,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.60703364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"83","last_page":"89"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9970999956130981,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.9362043142318726},{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.7659819722175598},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5318023562431335},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4723081588745117},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.45866858959198},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3851248621940613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38216307759284973}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9362043142318726},{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.7659819722175598},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5318023562431335},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4723081588745117},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.45866858959198},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3851248621940613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38216307759284973},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2008.10129020","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2008.10129020","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1227031899","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1227031899","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,"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":null,"sustainable_development_goals":[{"score":0.5600000023841858,"id":"https://metadata.un.org/sdg/2","display_name":"Zero hunger"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309170","display_name":"Florida State University","ror":"https://ror.org/05g3dte14"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W100965798","https://openalex.org/W317173286","https://openalex.org/W1032105410","https://openalex.org/W1529471319","https://openalex.org/W1548337223","https://openalex.org/W1555475515","https://openalex.org/W1666071580","https://openalex.org/W2008149121","https://openalex.org/W2027875058","https://openalex.org/W2031804978","https://openalex.org/W2039327237","https://openalex.org/W2297456208","https://openalex.org/W2789794869","https://openalex.org/W2963020734"],"related_works":["https://openalex.org/W2323172212","https://openalex.org/W1799780713","https://openalex.org/W4323907493","https://openalex.org/W2971148848","https://openalex.org/W2378613393","https://openalex.org/W4384345859","https://openalex.org/W2921432692","https://openalex.org/W4225004646","https://openalex.org/W3104648538","https://openalex.org/W4289793610"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,18],"there":[3],"exist":[4],"infinitely":[5],"many":[6],"triples":[7],"a,":[8],"b,":[9],"c":[10,27],"of":[11],"nonzero":[12],"rational":[13],"numbers":[14],"with":[15],"the":[16],"property":[17],"a":[19],"2":[20,24,28],"+":[21,25,29,32,35,39],"1,":[22,26,30,33,36],"b":[23],"ab":[31],"ac":[34],"and":[37],"bc":[38],"1":[40],"are":[41],"perfect":[42],"squares.":[43]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
