{"id":"https://openalex.org/W2898420598","doi":"https://doi.org/10.1007/s10998-018-0264-x","title":"x-Coordinates of Pell equations which are Tribonacci numbers II","display_name":"x-Coordinates of Pell equations which are Tribonacci numbers II","publication_year":2018,"publication_date":"2018-10-27","ids":{"openalex":"https://openalex.org/W2898420598","doi":"https://doi.org/10.1007/s10998-018-0264-x","mag":"2898420598"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-018-0264-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-018-0264-x","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059352756","display_name":"Bir Kafle","orcid":null},"institutions":[{"id":"https://openalex.org/I117015748","display_name":"Purdue University Northwest","ror":"https://ror.org/04keq6987","country_code":"US","type":"education","lineage":["https://openalex.org/I117015748"]},{"id":"https://openalex.org/I2802237329","display_name":"Fort Hays Tech Northwest","ror":"https://ror.org/03xjfrn37","country_code":"US","type":"education","lineage":["https://openalex.org/I2802237329","https://openalex.org/I91083438"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bir Kafle","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S, U.S. 421, Westville, IN, 46391, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S, U.S. 421, Westville, IN, 46391, USA","institution_ids":["https://openalex.org/I2802237329","https://openalex.org/I117015748"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007752336","display_name":"Florian Luca","orcid":"https://orcid.org/0000-0003-1321-4422"},"institutions":[{"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","ZA"],"is_corresponding":false,"raw_author_name":"Florian Luca","raw_affiliation_strings":["Faculty of Sciences, School of Mathematics, University of Ostrava, 30 Dubna 22, 701 03, Ostrava 1, Czech Republic","School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa"],"affiliations":[{"raw_affiliation_string":"Faculty of Sciences, School of Mathematics, University of Ostrava, 30 Dubna 22, 701 03, Ostrava 1, Czech Republic","institution_ids":["https://openalex.org/I187293425"]},{"raw_affiliation_string":"School of Mathematics, University of the Witwatersrand, Private Bag X3, Wits, 2050, South Africa","institution_ids":["https://openalex.org/I192619145"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067877694","display_name":"Alain Togb\u00e9","orcid":"https://orcid.org/0000-0002-5882-936X"},"institutions":[{"id":"https://openalex.org/I117015748","display_name":"Purdue University Northwest","ror":"https://ror.org/04keq6987","country_code":"US","type":"education","lineage":["https://openalex.org/I117015748"]},{"id":"https://openalex.org/I2802237329","display_name":"Fort Hays Tech Northwest","ror":"https://ror.org/03xjfrn37","country_code":"US","type":"education","lineage":["https://openalex.org/I2802237329","https://openalex.org/I91083438"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alain Togb\u00e9","raw_affiliation_strings":["Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S, U.S. 421, Westville, IN, 46391, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics and Computer Science, Purdue University Northwest, 1401 S, U.S. 421, Westville, IN, 46391, USA","institution_ids":["https://openalex.org/I2802237329","https://openalex.org/I117015748"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5059352756"],"corresponding_institution_ids":["https://openalex.org/I117015748","https://openalex.org/I2802237329"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.5458,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83501684,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"79","issue":"2","first_page":"157","last_page":"167"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.9997000098228455,"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"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9980999827384949,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9959999918937683,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.8875436782836914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8501145243644714},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5164716243743896},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.47929683327674866},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4659140408039093},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.10335645079612732},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09799471497535706},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.03308054804801941}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.8875436782836914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8501145243644714},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5164716243743896},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.47929683327674866},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4659140408039093},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10335645079612732},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09799471497535706},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.03308054804801941},{"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/s10998-018-0264-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-018-0264-x","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.4099999964237213,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320309036","display_name":"Purdue University","ror":"https://ror.org/02dqehb95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W2000648932","https://openalex.org/W2031804978","https://openalex.org/W2076158618","https://openalex.org/W2098263571","https://openalex.org/W2331059187","https://openalex.org/W2569930649","https://openalex.org/W2619854503","https://openalex.org/W2898094710","https://openalex.org/W2950678667","https://openalex.org/W2963130212","https://openalex.org/W4256378823"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596","https://openalex.org/W4238204885"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}
