{"id":"https://openalex.org/W4200420393","doi":"https://doi.org/10.1080/10586458.2021.2011491","title":"Periodic Representations and Approximations of <i>p</i> -adic Numbers Via Continued Fractions","display_name":"Periodic Representations and Approximations of <i>p</i> -adic Numbers Via Continued Fractions","publication_year":2021,"publication_date":"2021-12-30","ids":{"openalex":"https://openalex.org/W4200420393","doi":"https://doi.org/10.1080/10586458.2021.2011491"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2021.2011491","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.2011491","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","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/A5072417166","display_name":"Stefano Barbero","orcid":"https://orcid.org/0000-0003-2423-6061"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Barbero","raw_affiliation_strings":["Dipartimento di Matematica Giuseppe, Universita degli Studi di Torino, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Giuseppe, Universita degli Studi di Torino, Torino, Italy","institution_ids":["https://openalex.org/I55143463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011257011","display_name":"Umberto Cerruti","orcid":"https://orcid.org/0000-0002-4425-3267"},"institutions":[{"id":"https://openalex.org/I55143463","display_name":"University of Turin","ror":"https://ror.org/048tbm396","country_code":"IT","type":"education","lineage":["https://openalex.org/I55143463"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Umberto Cerruti","raw_affiliation_strings":["Dipartimento di Matematica Giuseppe, Universita degli Studi di Torino, Torino, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica Giuseppe, Universita degli Studi di Torino, Torino, Italy","institution_ids":["https://openalex.org/I55143463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031579561","display_name":"Nadir Murru","orcid":"https://orcid.org/0000-0003-0509-6278"},"institutions":[{"id":"https://openalex.org/I193223587","display_name":"University of Trento","ror":"https://ror.org/05trd4x28","country_code":"IT","type":"education","lineage":["https://openalex.org/I193223587"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Nadir Murru","raw_affiliation_strings":["Department of Mathematics, University of Trento, Trento, Italy"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Trento, Trento, Italy","institution_ids":["https://openalex.org/I193223587"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031579561"],"corresponding_institution_ids":["https://openalex.org/I193223587"],"apc_list":null,"apc_paid":null,"fwci":1.3691,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80250842,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"33","issue":"1","first_page":"100","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9998000264167786,"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/T13234","display_name":"advanced mathematical theories","score":0.9998000264167786,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9836999773979187,"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/T12516","display_name":"Advanced Mathematical Theories and Applications","score":0.964900016784668,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8817225694656372},{"id":"https://openalex.org/keywords/approximations-of-\u03c0","display_name":"Approximations of \u03c0","score":0.5226454734802246},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.41661539673805237},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4046436846256256},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3858410120010376},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34360581636428833},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2612510323524475}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8817225694656372},{"id":"https://openalex.org/C193386753","wikidata":"https://www.wikidata.org/wiki/Q1130396","display_name":"Approximations of \u03c0","level":2,"score":0.5226454734802246},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.41661539673805237},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4046436846256256},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3858410120010376},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34360581636428833},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2612510323524475}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/10586458.2021.2011491","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2021.2011491","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:iris.unitn.it:11572/419190","is_oa":false,"landing_page_url":"https://www.tandfonline.com/doi/full/10.1080/10586458.2021.2011491","pdf_url":null,"source":{"id":"https://openalex.org/S4306401913","display_name":"Institutional Research Information System (Universit\u00e0 degli Studi di Trento)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I193223587","host_organization_name":"University of Trento","host_organization_lineage":["https://openalex.org/I193223587"],"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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1985454115","https://openalex.org/W2026843095","https://openalex.org/W2027178108","https://openalex.org/W2033953952","https://openalex.org/W2039965590","https://openalex.org/W2071024425","https://openalex.org/W2097648267","https://openalex.org/W2113301629","https://openalex.org/W2473022998","https://openalex.org/W2782946583","https://openalex.org/W2963238984","https://openalex.org/W3099859937","https://openalex.org/W3155966562","https://openalex.org/W4237571979"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W2090715877","https://openalex.org/W2572370460"],"abstract_inverted_index":{"Continued":[0,112],"fractions":[1,33,113,142],"can":[2],"be":[3],"introduced":[4],"in":[5,21,57,107,114,143],"the":[6,101,134],"field":[7],"of":[8,61,76,97,124,133],"p-adic":[9,31,45,95],"numbers":[10],"Qp,":[11],"however":[12],"currently":[13],"there":[14],"is":[15,25,131],"not":[16,26],"a":[17,52,58],"standard":[18],"algorithm":[19,54,105,139],"as":[20],"R.":[22],"Indeed,":[23],"it":[24,71],"known":[27],"how":[28],"to":[29],"construct":[30],"continued":[32,141],"that":[34],"give":[35],"periodic":[36,74,92],"representations":[37,75,93],"for":[38,82,140],"all":[39],"quadratic":[40,83,98],"irrationals":[41],"and":[42,79,94,137],"provide":[43,87],"good":[44],"approximations.":[46],"In":[47],"this":[48],"article,":[49],"we":[50,68],"introduce":[51],"novel":[53],"which":[55,130],"terminates":[56],"finite":[59],"number":[60],"steps":[62],"when":[63,70],"processes":[64],"rational":[65],"numbers.":[66],"Moreover,":[67],"study":[69],"provides":[72],"particular":[73],"period":[77],"2":[78],"pre-period":[80],"1":[81],"irrationals.":[84],"We":[85],"also":[86],"some":[88],"numerical":[89],"experiments":[90],"regarding":[91],"approximations":[96],"irrationals,":[99],"comparing":[100],"performances":[102],"with":[103],"Browkin\u2019s":[104],"presented":[106],"[6":[108],"Browkin,":[109],"J.":[110],"(2000).":[111],"local":[115],"fields":[116],"II.":[117],"Math.":[118],"Comput.":[119],"70,":[120],"1281\u20131292.":[121],"doi:https://doi.org/10.1090/S0025-5718-00-01296-5[Crossref],":[122],"[Web":[123],"Science":[125],"\u00ae]":[126],",":[127],"[Google":[128],"Scholar]],":[129],"one":[132],"most":[135],"classical":[136],"interesting":[138],"Qp.":[144]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
