{"id":"https://openalex.org/W2012500323","doi":"https://doi.org/10.1145/258726.258745","title":"Fast algorithms for Taylor shifts and certain difference equations","display_name":"Fast algorithms for Taylor shifts and certain difference equations","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W2012500323","doi":"https://doi.org/10.1145/258726.258745","mag":"2012500323"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/258726.258745","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/258726.258745","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"proceedings-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://dl.acm.org/doi/pdf/10.1145/258726.258745","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111464444","display_name":"Joachim von zur Gathen","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Joachim von zur Gathen","raw_affiliation_strings":["Fachbereich 17 Mathematik-Informatik, Universit\u00e4t-GH Paderborn, D-33095 Paderborn, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich 17 Mathematik-Informatik, Universit\u00e4t-GH Paderborn, D-33095 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022023343","display_name":"J\u00fcrgen Gerhard","orcid":null},"institutions":[{"id":"https://openalex.org/I206945453","display_name":"Paderborn University","ror":"https://ror.org/058kzsd48","country_code":"DE","type":"education","lineage":["https://openalex.org/I206945453"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J\u00fcrgen Gerhard","raw_affiliation_strings":["Fachbereich 17 Mathematik-Informatik, Universit\u00e4t-GH Paderborn, D-33095 Paderborn, Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich 17 Mathematik-Informatik, Universit\u00e4t-GH Paderborn, D-33095 Paderborn, Germany","institution_ids":["https://openalex.org/I206945453"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.305,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":76,"citation_normalized_percentile":{"value":0.930958,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":95},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9981,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9981,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9976,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9973,"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":[],"concepts":[{"id":"https://openalex.org/C2778805511","wikidata":"https://www.wikidata.org/wiki/Q1713","display_name":"Citation","level":2,"score":0.746414},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47749728},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46252355},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45121837},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4027348},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.375443},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.3251622},{"id":"https://openalex.org/C161191863","wikidata":"https://www.wikidata.org/wiki/Q199655","display_name":"Library science","level":1,"score":0.26978412},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08572963},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06475556}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/258726.258745","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/258726.258745","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1145/258726.258745","pdf_url":"https://dl.acm.org/doi/pdf/10.1145/258726.258745","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":19,"referenced_works":["https://openalex.org/W1489208236","https://openalex.org/W1581260235","https://openalex.org/W1649758727","https://openalex.org/W1655990431","https://openalex.org/W1991191994","https://openalex.org/W1994398507","https://openalex.org/W2005635883","https://openalex.org/W200993041","https://openalex.org/W2029948740","https://openalex.org/W2045706641","https://openalex.org/W2046078423","https://openalex.org/W2055580199","https://openalex.org/W2063927631","https://openalex.org/W2073842331","https://openalex.org/W208025404","https://openalex.org/W2083368929","https://openalex.org/W2098067519","https://openalex.org/W2131914309","https://openalex.org/W2153531485"],"related_works":["https://openalex.org/W4317642157","https://openalex.org/W4239542068","https://openalex.org/W2544423928","https://openalex.org/W2363440148","https://openalex.org/W2317510431","https://openalex.org/W2073681303","https://openalex.org/W2053286651","https://openalex.org/W2052122378","https://openalex.org/W2051487156","https://openalex.org/W134931362"],"abstract_inverted_index":{"Article":[0],"Free":[1],"Access":[2],"Share":[3],"on":[4,72,123],"Fast":[5],"algorithms":[6],"for":[7],"Taylor":[8],"shifts":[9],"and":[10,74,100],"certain":[11],"difference":[12],"equations":[13],"Authors:":[14],"Joachim":[15],"von":[16],"zur":[17],"Gathen":[18],"Fachbereich":[19,28,41,50],"17":[20,29,42,51],"Mathematik-Informatik,":[21,30,43,52],"Universit\u00e4t":[22,31,44,53],"GH":[23,32,45,54],"Paderborn,":[24,26,33,35,46,48,55,57],"D-33095":[25,34,47,56],"Germany":[27,49],"GermanyView":[36,58],"Profile":[37,59],",":[38],"J\u00fcrgen":[39],"Gerhard":[40],"Authors":[60],"Info":[61],"&":[62],"Claims":[63],"ISSAC":[64],"'97:":[65],"Proceedings":[66],"of":[67],"the":[68,124],"1997":[69],"international":[70],"symposium":[71],"Symbolic":[73],"algebraic":[75],"computationJuly":[76],"1997Pages":[77],"40\u201347https://doi.org/10.1145/258726.258745Published:01":[78],"July":[79],"1997Publication":[80],"History":[81],"37citation470DownloadsMetricsTotal":[82],"Citations37Total":[83],"Downloads470Last":[84],"12":[85],"Months52Last":[86],"6":[87],"weeks5":[88],"Get":[89],"Citation":[90,92,129],"AlertsNew":[91,128],"Alert":[93],"added!This":[94],"alert":[95,120],"has":[96,115],"been":[97,116],"successfully":[98],"added":[99],"will":[101,105],"be":[102,106],"sent":[103],"to:You":[104],"notified":[107],"whenever":[108],"a":[109,141],"record":[110],"that":[111],"you":[112],"have":[113],"chosen":[114],"cited.To":[117],"manage":[118],"your":[119,134],"preferences,":[121],"click":[122],"button":[125],"below.Manage":[126],"my":[127],"Alert!Please":[130],"log":[131],"in":[132],"to":[133,137,139],"account":[135],"Save":[136],"BinderSave":[138],"BinderCreate":[140],"New":[142],"BinderNameCancelCreateExport":[143],"CitationPublisher":[144],"SiteeReaderPDF":[145]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2012500323","counts_by_year":[{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":5},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2024-12-31T14:28:05.297755","created_date":"2016-06-24"}