{"id":"https://openalex.org/W2963620137","doi":"https://doi.org/10.1007/s10998-019-00295-0","title":"An application of Baker\u2019s method to the Je\u015bmanowicz\u2019 conjecture on primitive Pythagorean triples","display_name":"An application of Baker\u2019s method to the Je\u015bmanowicz\u2019 conjecture on primitive Pythagorean triples","publication_year":2019,"publication_date":"2019-07-11","ids":{"openalex":"https://openalex.org/W2963620137","doi":"https://doi.org/10.1007/s10998-019-00295-0","mag":"2963620137"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-019-00295-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00295-0","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/A5031685601","display_name":"LE Mao-hua","orcid":"https://orcid.org/0000-0002-7502-2496"},"institutions":[{"id":"https://openalex.org/I154833797","display_name":"Lingnan Normal University","ror":"https://ror.org/01h6ecw13","country_code":"CN","type":"education","lineage":["https://openalex.org/I154833797"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Maohua Le","raw_affiliation_strings":["Institute of Mathematics, Lingnan Normal College, Zhangjiang, 524048, Guangdong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Lingnan Normal College, Zhangjiang, 524048, Guangdong, China","institution_ids":["https://openalex.org/I154833797"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055851531","display_name":"G\u00f6khan Soydan","orcid":"https://orcid.org/0000-0002-6321-4132"},"institutions":[{"id":"https://openalex.org/I131835042","display_name":"Bursa Uluda\u011f \u00dcni\u0307versi\u0307tesi\u0307","ror":"https://ror.org/03tg3eb07","country_code":"TR","type":"education","lineage":["https://openalex.org/I131835042"]}],"countries":["TR"],"is_corresponding":true,"raw_author_name":"G\u00f6khan Soydan","raw_affiliation_strings":["Department of Mathematics, Bursa Uluda\u011f University, 16059, Bursa, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-6321-4132","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Bursa Uluda\u011f University, 16059, Bursa, Turkey","institution_ids":["https://openalex.org/I131835042"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055851531"],"corresponding_institution_ids":["https://openalex.org/I131835042"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.3268,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.92618151,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"80","issue":"1","first_page":"74","last_page":"80"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9975000023841858,"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":0.9975000023841858,"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/T12504","display_name":"Mathematics and Applications","score":0.9965999722480774,"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/T12508","display_name":"Functional Equations Stability Results","score":0.9944999814033508,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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":0.8939294815063477},{"id":"https://openalex.org/keywords/pythagorean-triple","display_name":"Pythagorean triple","score":0.889085054397583},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.819366455078125},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7058020830154419},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6688899993896484},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.48836156725883484},{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.40412917733192444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09105619788169861},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07500690221786499}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8939294815063477},{"id":"https://openalex.org/C80918210","wikidata":"https://www.wikidata.org/wiki/Q208225","display_name":"Pythagorean triple","level":3,"score":0.889085054397583},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.819366455078125},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7058020830154419},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6688899993896484},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.48836156725883484},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.40412917733192444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09105619788169861},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07500690221786499},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10998-019-00295-0","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00295-0","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:0791c658-dfcd-4a5a-aca2-7161b09db0e1","is_oa":false,"landing_page_url":"https://avesis.uludag.edu.tr/publication/details/0791c658-dfcd-4a5a-aca2-7161b09db0e1/oai","pdf_url":null,"source":{"id":"https://openalex.org/S7407055210","display_name":"Bursa Uludag University - AVESIS","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8305608516","display_name":null,"funder_award_id":"F-2016/9","funder_id":"https://openalex.org/F4320324566","funder_display_name":"Uluda\u011f \u00dcniversitesi"}],"funders":[{"id":"https://openalex.org/F4320324566","display_name":"Uluda\u011f \u00dcniversitesi","ror":"https://ror.org/03tg3eb07"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W839981897","https://openalex.org/W1966600330","https://openalex.org/W1972898438","https://openalex.org/W1975344034","https://openalex.org/W1988364524","https://openalex.org/W1990564556","https://openalex.org/W2003625088","https://openalex.org/W2069299883","https://openalex.org/W2187607260","https://openalex.org/W2573468323","https://openalex.org/W2592700746","https://openalex.org/W2716702436","https://openalex.org/W2755149308","https://openalex.org/W2798103418","https://openalex.org/W2804073394","https://openalex.org/W4230261363"],"related_works":["https://openalex.org/W3038906685","https://openalex.org/W2392975301","https://openalex.org/W2259363500","https://openalex.org/W2387543012","https://openalex.org/W2620974800","https://openalex.org/W4287077343","https://openalex.org/W2368479431","https://openalex.org/W4297809691","https://openalex.org/W3182949439","https://openalex.org/W3003268532"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
