{"id":"https://openalex.org/W2947757706","doi":"https://doi.org/10.1134/s036176881902004x","title":"Computation of the Fundamental Units of Number Rings Using a Generalized Continued Fraction","display_name":"Computation of the Fundamental Units of Number Rings Using a Generalized Continued Fraction","publication_year":2019,"publication_date":"2019-03-01","ids":{"openalex":"https://openalex.org/W2947757706","doi":"https://doi.org/10.1134/s036176881902004x","mag":"2947757706"},"language":"en","primary_location":{"id":"doi:10.1134/s036176881902004x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s036176881902004x","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","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/A5043811988","display_name":"A. D. Bruno","orcid":"https://orcid.org/0000-0002-7465-1258"},"institutions":[{"id":"https://openalex.org/I86427540","display_name":"Keldysh Institute of Applied Mathematics","ror":"https://ror.org/01dv3hq14","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210124601","https://openalex.org/I86427540"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"A. D. Bruno","raw_affiliation_strings":["Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia","institution_ids":["https://openalex.org/I86427540"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5043811988"],"corresponding_institution_ids":["https://openalex.org/I86427540"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.08193908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"45","issue":"2","first_page":"37","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.863591194152832},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.8145071268081665},{"id":"https://openalex.org/keywords/diophantine-equation","display_name":"Diophantine equation","score":0.7511201500892639},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.6408024430274963},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6110955476760864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6107156276702881},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.6032223701477051},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5659238696098328},{"id":"https://openalex.org/keywords/diophantine-approximation","display_name":"Diophantine approximation","score":0.5037924647331238},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.4517565965652466},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3480580449104309},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3264463245868683},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2802445888519287},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16802486777305603},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10789203643798828},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06716302037239075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.050255775451660156}],"concepts":[{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.863591194152832},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.8145071268081665},{"id":"https://openalex.org/C206530611","wikidata":"https://www.wikidata.org/wiki/Q905896","display_name":"Diophantine equation","level":2,"score":0.7511201500892639},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6408024430274963},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6110955476760864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6107156276702881},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6032223701477051},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5659238696098328},{"id":"https://openalex.org/C102966492","wikidata":"https://www.wikidata.org/wiki/Q1227061","display_name":"Diophantine approximation","level":3,"score":0.5037924647331238},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.4517565965652466},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3480580449104309},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3264463245868683},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2802445888519287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16802486777305603},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10789203643798828},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06716302037239075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.050255775451660156},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s036176881902004x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s036176881902004x","pdf_url":null,"source":{"id":"https://openalex.org/S150218641","display_name":"Programming and Computer Software","issn_l":"0361-7688","issn":["0361-7688","1608-3261"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Programming and Computer Software","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W336995577","https://openalex.org/W1574151794","https://openalex.org/W2013528289","https://openalex.org/W2061722309","https://openalex.org/W2068852444","https://openalex.org/W2079860551","https://openalex.org/W2086721308","https://openalex.org/W2105521189","https://openalex.org/W2153504150","https://openalex.org/W2321213925","https://openalex.org/W2332364243","https://openalex.org/W2471772418","https://openalex.org/W3038928148","https://openalex.org/W4255213956","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W3161430837","https://openalex.org/W1604898313","https://openalex.org/W1491899005","https://openalex.org/W4233815414","https://openalex.org/W2117014006","https://openalex.org/W2140418760","https://openalex.org/W2140233454","https://openalex.org/W1572523360","https://openalex.org/W2048997514"],"abstract_inverted_index":{"A":[0],"global":[1],"generalization":[2,25],"of":[3,34,42,45],"continued":[4],"fraction":[5],"is":[6,9],"proposed.":[7],"It":[8],"based":[10],"on":[11],"computer":[12],"algebra":[13],"and":[14,37,53],"can":[15],"be":[16],"used":[17],"to":[18],"find":[19],"the":[20,31],"best":[21],"Diophantine":[22,46],"approximations.":[23],"This":[24],"provides":[26],"a":[27,43],"basis":[28],"for":[29,38],"computing":[30],"fundamental":[32],"units":[33],"algebraic":[35],"rings":[36],"finding":[39],"all":[40],"solutions":[41],"class":[44],"equations.":[47],"Examples":[48],"in":[49],"dimensions":[50],"two,":[51],"three,":[52],"four":[54],"are":[55],"given.":[56]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}