{"id":"https://openalex.org/W2989659795","doi":"https://doi.org/10.1007/s10998-019-00302-4","title":"A Diophantine equation with the harmonic mean","display_name":"A Diophantine equation with the harmonic mean","publication_year":2019,"publication_date":"2019-11-30","ids":{"openalex":"https://openalex.org/W2989659795","doi":"https://doi.org/10.1007/s10998-019-00302-4","mag":"2989659795"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-019-00302-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00302-4","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/A5100642153","display_name":"Yong Zhang","orcid":"https://orcid.org/0000-0002-9671-781X"},"institutions":[{"id":"https://openalex.org/I56934997","display_name":"Changsha University of Science and Technology","ror":"https://ror.org/03yph8055","country_code":"CN","type":"education","lineage":["https://openalex.org/I56934997"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yong Zhang","raw_affiliation_strings":["Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, People\u2019s Republic of China","School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering, Changsha, 410114, People\u2019s Republic of China","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, People\u2019s Republic of China","institution_ids":["https://openalex.org/I56934997"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067105510","display_name":"Deyi Chen","orcid":"https://orcid.org/0000-0001-9362-8873"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Deyi Chen","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, 310027, People\u2019s Republic of China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100642153"],"corresponding_institution_ids":["https://openalex.org/I56934997"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3808,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.58730596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"80","issue":"1","first_page":"138","last_page":"144"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9954000115394592,"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"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9954000115394592,"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"}},{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9912999868392944,"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.989300012588501,"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/diophantine-equation","display_name":"Diophantine equation","score":0.9240153431892395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8993974328041077},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.7917828559875488},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5670194625854492},{"id":"https://openalex.org/keywords/parametric-statistics","display_name":"Parametric statistics","score":0.4536149501800537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.449550986289978},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40687718987464905},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.28273317217826843}],"concepts":[{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.9240153431892395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8993974328041077},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.7917828559875488},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5670194625854492},{"id":"https://openalex.org/C117251300","wikidata":"https://www.wikidata.org/wiki/Q1849855","display_name":"Parametric statistics","level":2,"score":0.4536149501800537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.449550986289978},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40687718987464905},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.28273317217826843},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"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":1,"locations":[{"id":"doi:10.1007/s10998-019-00302-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-019-00302-4","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":[],"awards":[{"id":"https://openalex.org/G1704659785","display_name":null,"funder_award_id":"No. 11501052","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W36386472","https://openalex.org/W945635301","https://openalex.org/W1480116956","https://openalex.org/W1486898453","https://openalex.org/W1555475515","https://openalex.org/W1604636366","https://openalex.org/W1982686221","https://openalex.org/W2029704363","https://openalex.org/W2040006208","https://openalex.org/W2084273409","https://openalex.org/W2085632019","https://openalex.org/W2284242454","https://openalex.org/W2314854908","https://openalex.org/W2335968688","https://openalex.org/W2798483379","https://openalex.org/W2913609676","https://openalex.org/W2963492950","https://openalex.org/W4206503652","https://openalex.org/W4245798789","https://openalex.org/W4253131219","https://openalex.org/W4292027090","https://openalex.org/W4292482156"],"related_works":["https://openalex.org/W2025770640","https://openalex.org/W2462246956","https://openalex.org/W2379447811","https://openalex.org/W2029234250","https://openalex.org/W1553843799","https://openalex.org/W4298335810","https://openalex.org/W2894446991","https://openalex.org/W2351522589","https://openalex.org/W2387613912","https://openalex.org/W1755263897"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}