{"id":"https://openalex.org/W2766482327","doi":"https://doi.org/10.1007/s10998-017-0226-8","title":"X-coordinates of Pell equations as sums of two tribonacci numbers","display_name":"X-coordinates of Pell equations as sums of two tribonacci numbers","publication_year":2017,"publication_date":"2017-10-17","ids":{"openalex":"https://openalex.org/W2766482327","doi":"https://doi.org/10.1007/s10998-017-0226-8","mag":"2766482327"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-017-0226-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-017-0226-8","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/21.11116/0000-0004-41B3-8","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060227822","display_name":"Eric F. Bravo","orcid":"https://orcid.org/0000-0003-2191-3776"},"institutions":[{"id":"https://openalex.org/I91732220","display_name":"Universidad del Valle","ror":"https://ror.org/00jb9vg53","country_code":"CO","type":"education","lineage":["https://openalex.org/I91732220"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Eric F. Bravo","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad del Valle, Calle 13 No 100-00, Cali, Colombia"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad del Valle, Calle 13 No 100-00, Cali, Colombia","institution_ids":["https://openalex.org/I91732220"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080770163","display_name":"Carlos A. G\u00f3mez","orcid":"https://orcid.org/0000-0003-1126-2973"},"institutions":[{"id":"https://openalex.org/I91732220","display_name":"Universidad del Valle","ror":"https://ror.org/00jb9vg53","country_code":"CO","type":"education","lineage":["https://openalex.org/I91732220"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Carlos Alexis G\u00f3mez Ruiz","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad del Valle, Calle 13 No 100-00, Cali, Colombia"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad del Valle, Calle 13 No 100-00, Cali, Colombia","institution_ids":["https://openalex.org/I91732220"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007752336","display_name":"Florian Luca","orcid":"https://orcid.org/0000-0003-1321-4422"},"institutions":[{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]},{"id":"https://openalex.org/I187293425","display_name":"University of Ostrava","ror":"https://ror.org/00pyqav47","country_code":"CZ","type":"education","lineage":["https://openalex.org/I187293425"]},{"id":"https://openalex.org/I192619145","display_name":"University of the Witwatersrand","ror":"https://ror.org/03rp50x72","country_code":"ZA","type":"education","lineage":["https://openalex.org/I192619145"]}],"countries":["CZ","DE","ZA"],"is_corresponding":false,"raw_author_name":"Florian Luca","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, University of Ostrava, 30 Dubna 22, 701 03, Ostrava 1, Czech Republic","Max Planck Institute for Mathematics, Vivatsgasse 7, 53111, Bonn, Germany","School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, University of Ostrava, 30 Dubna 22, 701 03, Ostrava 1, Czech Republic","institution_ids":["https://openalex.org/I187293425"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics, Vivatsgasse 7, 53111, Bonn, Germany","institution_ids":["https://openalex.org/I4210119712"]},{"raw_affiliation_string":"School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa","institution_ids":["https://openalex.org/I192619145"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5060227822"],"corresponding_institution_ids":["https://openalex.org/I91732220"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.5388,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89574123,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"77","issue":"2","first_page":"175","last_page":"190"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9994999766349792,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8959133625030518},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38076773285865784}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8959133625030518},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38076773285865784}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10998-017-0226-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-017-0226-8","pdf_url":null,"source":{"id":"https://openalex.org/S106707257","display_name":"Periodica Mathematica Hungarica","issn_l":"0031-5303","issn":["0031-5303","1588-2829"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"journal-article"},{"id":"pmh:oai:pure.mpg.de:item_3086299","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-41B3-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.mpg.de:item_3086299","is_oa":true,"landing_page_url":"http://hdl.handle.net/21.11116/0000-0004-41B3-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Periodica Mathematica Hungarica","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W75363822","https://openalex.org/W1002865687","https://openalex.org/W1579043960","https://openalex.org/W2000648932","https://openalex.org/W2031804978","https://openalex.org/W2076158618","https://openalex.org/W2322833894","https://openalex.org/W2569930649","https://openalex.org/W2619854503","https://openalex.org/W2898094710","https://openalex.org/W2950678667","https://openalex.org/W4239678843","https://openalex.org/W4256378823"],"related_works":["https://openalex.org/W2044189972","https://openalex.org/W1974891317","https://openalex.org/W2313400459","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2069964982","https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2017331178","https://openalex.org/W2976797620"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}