{"id":"https://openalex.org/W3012415338","doi":"https://doi.org/10.1007/s10998-020-00317-2","title":"A note on the exceptional solutions of Je\u015bmanowicz\u2019 conjecture concerning primitive Pythagorean triples","display_name":"A note on the exceptional solutions of Je\u015bmanowicz\u2019 conjecture concerning primitive Pythagorean triples","publication_year":2020,"publication_date":"2020-03-18","ids":{"openalex":"https://openalex.org/W3012415338","doi":"https://doi.org/10.1007/s10998-020-00317-2","mag":"3012415338"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-020-00317-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-020-00317-2","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/A5021370442","display_name":"Ruiqin Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I181903023","display_name":"Xi'an Shiyou University","ror":"https://ror.org/040c7js64","country_code":"CN","type":"education","lineage":["https://openalex.org/I181903023"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ruiqin Fu","raw_affiliation_strings":["School of Science, Xi\u2019an Shiyou University, Xi\u2019an, 710065, Shaanxi, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Shiyou University, Xi\u2019an, 710065, Shaanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I181903023"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045705475","display_name":"Hai Yang","orcid":"https://orcid.org/0000-0001-5210-8468"},"institutions":[{"id":"https://openalex.org/I27599042","display_name":"Xi'an Polytechnic University","ror":"https://ror.org/03442p831","country_code":"CN","type":"education","lineage":["https://openalex.org/I27599042"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hai Yang","raw_affiliation_strings":["School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, 710048, Shaanxi, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Science, Xi\u2019an Polytechnic University, Xi\u2019an, 710048, Shaanxi, People\u2019s Republic of China","institution_ids":["https://openalex.org/I27599042"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045705475"],"corresponding_institution_ids":["https://openalex.org/I27599042"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.7792,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6752606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"81","issue":"2","first_page":"275","last_page":"283"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9990000128746033,"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/T12504","display_name":"Mathematics and Applications","score":0.9990000128746033,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9945999979972839,"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/T12170","display_name":"History and Theory of Mathematics","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/pythagorean-triple","display_name":"Pythagorean triple","score":0.9406981468200684},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8982781171798706},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7743417024612427},{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.7624292373657227},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3851129114627838},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33069807291030884},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3280499577522278},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08235383033752441}],"concepts":[{"id":"https://openalex.org/C80918210","wikidata":"https://www.wikidata.org/wiki/Q208225","display_name":"Pythagorean triple","level":3,"score":0.9406981468200684},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8982781171798706},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7743417024612427},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.7624292373657227},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3851129114627838},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33069807291030884},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3280499577522278},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08235383033752441}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-020-00317-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-020-00317-2","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":0.4300000071525574,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W36386472","https://openalex.org/W1998239757","https://openalex.org/W2000648932","https://openalex.org/W2023522367","https://openalex.org/W2094876886","https://openalex.org/W2128455495","https://openalex.org/W2626985950","https://openalex.org/W2798483379","https://openalex.org/W2963518479","https://openalex.org/W2963620137","https://openalex.org/W3147843861","https://openalex.org/W4253131219"],"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/W2994801930"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
