{"id":"https://openalex.org/W2903913968","doi":"https://doi.org/10.1007/s10998-018-00273-y","title":"On the distribution of partial sums of irrational rotations","display_name":"On the distribution of partial sums of irrational rotations","publication_year":2018,"publication_date":"2018-12-17","ids":{"openalex":"https://openalex.org/W2903913968","doi":"https://doi.org/10.1007/s10998-018-00273-y","mag":"2903913968"},"language":"en","primary_location":{"id":"doi:10.1007/s10998-018-00273-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-018-00273-y","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/A5100869495","display_name":"Yoshiyuki Mori","orcid":null},"institutions":[{"id":"https://openalex.org/I136446963","display_name":"Okayama University of Science","ror":"https://ror.org/05aevyc10","country_code":"JP","type":"education","lineage":["https://openalex.org/I136446963"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yoshiyuki Mori","raw_affiliation_strings":["Department of Applied Mathematics, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan","institution_ids":["https://openalex.org/I136446963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091650025","display_name":"Naoto Shimaru","orcid":null},"institutions":[{"id":"https://openalex.org/I136446963","display_name":"Okayama University of Science","ror":"https://ror.org/05aevyc10","country_code":"JP","type":"education","lineage":["https://openalex.org/I136446963"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoto Shimaru","raw_affiliation_strings":["Department of Applied Mathematics, Graduate School of Science, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Graduate School of Science, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan","institution_ids":["https://openalex.org/I136446963"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072577377","display_name":"Keizo Takashima","orcid":"https://orcid.org/0000-0002-1347-1528"},"institutions":[{"id":"https://openalex.org/I136446963","display_name":"Okayama University of Science","ror":"https://ror.org/05aevyc10","country_code":"JP","type":"education","lineage":["https://openalex.org/I136446963"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Keizo Takashima","raw_affiliation_strings":["Department of Applied Mathematics, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan"],"raw_orcid":"https://orcid.org/0000-0002-1347-1528","affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics, Okayama University of Science, 1-1 Ridai-cho, Okayama, 700-0005, Japan","institution_ids":["https://openalex.org/I136446963"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100869495"],"corresponding_institution_ids":["https://openalex.org/I136446963"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.488,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.6426299,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"78","issue":"1","first_page":"88","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.9998999834060669,"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":0.9998999834060669,"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/T11428","display_name":"Advanced Mathematical Identities","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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9980000257492065,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9171651601791382},{"id":"https://openalex.org/keywords/irrational-number","display_name":"Irrational number","score":0.8015108704566956},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.7128716707229614},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6734068989753723},{"id":"https://openalex.org/keywords/continued-fraction","display_name":"Continued fraction","score":0.597084641456604},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.47985976934432983},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2800924777984619},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1714341938495636},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.11407241225242615}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9171651601791382},{"id":"https://openalex.org/C94931360","wikidata":"https://www.wikidata.org/wiki/Q607728","display_name":"Irrational number","level":2,"score":0.8015108704566956},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.7128716707229614},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6734068989753723},{"id":"https://openalex.org/C20080352","wikidata":"https://www.wikidata.org/wiki/Q206816","display_name":"Continued fraction","level":3,"score":0.597084641456604},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.47985976934432983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2800924777984619},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1714341938495636},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.11407241225242615},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10998-018-00273-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10998-018-00273-y","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W59186131","https://openalex.org/W185389949","https://openalex.org/W617609222","https://openalex.org/W757698390","https://openalex.org/W1498760074","https://openalex.org/W1607458528","https://openalex.org/W1942513411","https://openalex.org/W1979949917","https://openalex.org/W2008398472","https://openalex.org/W2012538213","https://openalex.org/W2024067699","https://openalex.org/W2037308085","https://openalex.org/W2044913704","https://openalex.org/W2053565239","https://openalex.org/W2071200011","https://openalex.org/W2090444071","https://openalex.org/W2319509369","https://openalex.org/W2344427690","https://openalex.org/W2477395178","https://openalex.org/W2565352164","https://openalex.org/W2566126959","https://openalex.org/W2601213185","https://openalex.org/W2894324243","https://openalex.org/W3038928148","https://openalex.org/W3175367423","https://openalex.org/W4212933304","https://openalex.org/W4388288416","https://openalex.org/W6633869578"],"related_works":["https://openalex.org/W3088646517","https://openalex.org/W1756519986","https://openalex.org/W1975485307","https://openalex.org/W2124164226","https://openalex.org/W4233892384","https://openalex.org/W2601213185","https://openalex.org/W2260417444","https://openalex.org/W2351158366","https://openalex.org/W3133543655","https://openalex.org/W4380450907"],"abstract_inverted_index":null,"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
