{"id":"https://openalex.org/W4283810376","doi":"https://doi.org/10.1145/3476446.3535504","title":"The Membership Problem for Hypergeometric Sequences with Rational Parameters","display_name":"The Membership Problem for Hypergeometric Sequences with Rational Parameters","publication_year":2022,"publication_date":"2022-07-04","ids":{"openalex":"https://openalex.org/W4283810376","doi":"https://doi.org/10.1145/3476446.3535504"},"language":"en","primary_location":{"id":"doi:10.1145/3476446.3535504","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3476446.3535504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},"type":"preprint","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/A5086747317","display_name":"Klara Nosan","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Klara Nosan","raw_affiliation_strings":["Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France","Institut de Recherche en Informatique Fondamentale"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut de Recherche en Informatique Fondamentale","institution_ids":["https://openalex.org/I4210117673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072806743","display_name":"Amaury Pouly","orcid":"https://orcid.org/0000-0002-2549-951X"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Amaury Pouly","raw_affiliation_strings":["Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF & University of Oxford, Paris, France","Centre National de la Recherche Scientifique"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF & University of Oxford, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Centre National de la Recherche Scientifique","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005502598","display_name":"Mahsa Shirmohammadi","orcid":"https://orcid.org/0000-0002-7779-2339"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mahsa Shirmohammadi","raw_affiliation_strings":["Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France","Institut de Recherche en Informatique Fondamentale"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris Cit\u00e9, CNRS, IRIF, Paris, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Institut de Recherche en Informatique Fondamentale","institution_ids":["https://openalex.org/I4210117673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068165188","display_name":"James Worrell","orcid":"https://orcid.org/0000-0001-8151-2443"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"James Worrell","raw_affiliation_strings":["University of Oxford, Oxford, United Kingdom","Departement of Computer of Science University of Oxford"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford, United Kingdom","institution_ids":["https://openalex.org/I40120149"]},{"raw_affiliation_string":"Departement of Computer of Science University of Oxford","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1575,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7364851,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"381","last_page":"389"},"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":0.9987999796867371,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.7419096231460571},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.7207357883453369},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6950858235359192},{"id":"https://openalex.org/keywords/hypergeometric-distribution","display_name":"Hypergeometric distribution","score":0.6737459301948547},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6457613110542297},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5348830223083496},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5172817707061768},{"id":"https://openalex.org/keywords/hypergeometric-function","display_name":"Hypergeometric function","score":0.4100409150123596},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.26570069789886475}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7419096231460571},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.7207357883453369},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6950858235359192},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.6737459301948547},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6457613110542297},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5348830223083496},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5172817707061768},{"id":"https://openalex.org/C197320386","wikidata":"https://www.wikidata.org/wiki/Q21028472","display_name":"Hypergeometric function","level":2,"score":0.4100409150123596},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.26570069789886475},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3476446.3535504","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3476446.3535504","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:HAL:hal-03861547v1","is_oa":false,"landing_page_url":"https://cnrs.hal.science/hal-03861547","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSAC '22: International Symposium on Symbolic and Algebraic Computation, Jul 2022, Villeneuve-d'Ascq France, France. pp.381-389, ⟨10.1145/3476446.3535504⟩","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G7633184621","display_name":null,"funder_award_id":"852769","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W150877817","https://openalex.org/W1976805746","https://openalex.org/W2001082538","https://openalex.org/W2160684149","https://openalex.org/W2314095751","https://openalex.org/W2764942935","https://openalex.org/W2962737105","https://openalex.org/W2963987338","https://openalex.org/W3159824982","https://openalex.org/W4243410516","https://openalex.org/W6697290343"],"related_works":["https://openalex.org/W2028620627","https://openalex.org/W2952864462","https://openalex.org/W1976287210","https://openalex.org/W2519979128","https://openalex.org/W4200539669","https://openalex.org/W4286588332","https://openalex.org/W3088626263","https://openalex.org/W2738379461","https://openalex.org/W3103186512","https://openalex.org/W4286750681"],"abstract_inverted_index":{"We":[0,27,69],"investigate":[1],"the":[2,25,34,38,44,47,62,75,78,84],"Membership":[3,79],"Problem":[4],"for":[5],"hypergeometric":[6,10],"sequences:":[7],"given":[8],"a":[9,17,72],"sequence":[11],"\u276cun\u276d\u221en=0":[12],"of":[13,30,46,64,77],"rational":[14,54],"numbers":[15],"and":[16,50,83],"target":[18],"t\u2208Q,":[19],"decide":[20],"whether":[21],"t":[22],"occurs":[23],"in":[24,37,66,87],"sequence.":[26],"show":[28],"decidability":[29,76],"this":[31],"problem":[32,80],"under":[33],"assumption":[35],"that":[36],"defining":[39],"recurrence":[40],"p(n)un":[41],"=":[42],"q(n)un-1,":[43],"roots":[45],"polynomials":[48],"p(x)":[49],"q(x)":[51],"are":[52],"all":[53],"numbers.":[55],"Our":[56],"proof":[57],"relies":[58],"on":[59,61],"bounds":[60],"density":[63],"primes":[65],"arithmetic":[67],"progressions.":[68],"also":[70],"observe":[71],"relationship":[73],"between":[74],"(and":[81],"variants)":[82],"Rohrlich-Lang":[85],"conjecture":[86],"transcendence":[88],"theory.":[89]},"counts_by_year":[{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}