{"id":"https://openalex.org/W2117060080","doi":"https://doi.org/10.1016/s0096-3003(02)00416-2","title":"The Khintchine constants for generalized continued fractions","display_name":"The Khintchine constants for generalized continued fractions","publication_year":2003,"publication_date":"2003-01-30","ids":{"openalex":"https://openalex.org/W2117060080","doi":"https://doi.org/10.1016/s0096-3003(02)00416-2","mag":"2117060080"},"language":"en","primary_location":{"id":"doi:10.1016/s0096-3003(02)00416-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00416-2","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","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/A5070400970","display_name":"Geon Ho Choe","orcid":null},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Geon Ho Choe","raw_affiliation_strings":["Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea","Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea#TAB#","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050782312","display_name":"Chihurn Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Chihurn Kim","raw_affiliation_strings":["Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea","Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea","institution_ids":["https://openalex.org/I157485424"]},{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Kusong-dong Yusong-gu, Daejeon 305-701, South Korea#TAB#","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070400970"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":{"value":3550,"currency":"USD","value_usd":3550},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.21665197,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"144","issue":"2-3","first_page":"397","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9988999962806702,"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":0.9988999962806702,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9986000061035156,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9951000213623047,"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/combinatorics","display_name":"Combinatorics","score":0.7233344912528992},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.6832504272460938},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6558252573013306},{"id":"https://openalex.org/keywords/limiting","display_name":"Limiting","score":0.5955888032913208},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.552724301815033},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5334036350250244},{"id":"https://openalex.org/keywords/continued-fraction","display_name":"Continued fraction","score":0.5262157917022705},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.505753755569458},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.44873175024986267},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4165205955505371},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35985368490219116},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.23173576593399048},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.20688936114311218},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.1948290765285492},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.06006664037704468}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7233344912528992},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.6832504272460938},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6558252573013306},{"id":"https://openalex.org/C188198153","wikidata":"https://www.wikidata.org/wiki/Q1613840","display_name":"Limiting","level":2,"score":0.5955888032913208},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.552724301815033},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5334036350250244},{"id":"https://openalex.org/C20080352","wikidata":"https://www.wikidata.org/wiki/Q206816","display_name":"Continued fraction","level":3,"score":0.5262157917022705},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.505753755569458},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.44873175024986267},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4165205955505371},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35985368490219116},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.23173576593399048},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.20688936114311218},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.1948290765285492},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.06006664037704468},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0096-3003(02)00416-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0096-3003(02)00416-2","pdf_url":null,"source":{"id":"https://openalex.org/S50372074","display_name":"Applied Mathematics and Computation","issn_l":"0096-3003","issn":["0096-3003","1873-5649"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Mathematics and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W57132774","https://openalex.org/W1966291353","https://openalex.org/W1970371703","https://openalex.org/W2027102474","https://openalex.org/W2039700245","https://openalex.org/W2334580801","https://openalex.org/W3038928148","https://openalex.org/W3109381375","https://openalex.org/W4246495436","https://openalex.org/W6657060910"],"related_works":["https://openalex.org/W2390585021","https://openalex.org/W50969306","https://openalex.org/W412641959","https://openalex.org/W2044004505","https://openalex.org/W2779828239","https://openalex.org/W2341040961","https://openalex.org/W974555882","https://openalex.org/W1756519986","https://openalex.org/W2792742763","https://openalex.org/W3133543655"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
