{"id":"https://openalex.org/W1967581209","doi":"https://doi.org/10.1016/s0097-3165(03)00023-2","title":"Combinatorial proofs of generating function identities for F-partitions","display_name":"Combinatorial proofs of generating function identities for F-partitions","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W1967581209","doi":"https://doi.org/10.1016/s0097-3165(03)00023-2","mag":"1967581209"},"language":"en","primary_location":{"id":"doi:10.1016/s0097-3165(03)00023-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-3165(03)00023-2","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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/A5033374079","display_name":"Ae Ja Yee","orcid":"https://orcid.org/0000-0001-5384-1370"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ae Ja Yee","raw_affiliation_strings":["Department of Mathematics, University of Illinois, 1409, West Green Street, Urbana, IL#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Illinois, 1409, West Green Street, Urbana, IL#TAB#","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5033374079"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":1.7356,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.78643945,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"102","issue":"1","first_page":"217","last_page":"228"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9894000291824341,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9894000291824341,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9668999910354614,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.9574999809265137,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.832595944404602},{"id":"https://openalex.org/keywords/combinatorial-proof","display_name":"Combinatorial proof","score":0.7047383189201355},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5216425061225891},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.5109440684318542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5007281303405762},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4917886555194855},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3880111575126648},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33724042773246765},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.11422157287597656},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07751429080963135},{"id":"https://openalex.org/keywords/evolutionary-biology","display_name":"Evolutionary biology","score":0.0667383074760437}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.832595944404602},{"id":"https://openalex.org/C118539577","wikidata":"https://www.wikidata.org/wiki/Q3402784","display_name":"Combinatorial proof","level":2,"score":0.7047383189201355},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5216425061225891},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.5109440684318542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5007281303405762},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4917886555194855},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3880111575126648},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33724042773246765},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.11422157287597656},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07751429080963135},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0667383074760437}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0097-3165(03)00023-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0097-3165(03)00023-2","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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":7,"referenced_works":["https://openalex.org/W1964375672","https://openalex.org/W1985180174","https://openalex.org/W1985378954","https://openalex.org/W2056349337","https://openalex.org/W2069375845","https://openalex.org/W2088325823","https://openalex.org/W6668140630"],"related_works":["https://openalex.org/W1604768033","https://openalex.org/W4299386009","https://openalex.org/W2949404826","https://openalex.org/W1967581209","https://openalex.org/W2135552440","https://openalex.org/W1970961016","https://openalex.org/W2094574612","https://openalex.org/W2952685196","https://openalex.org/W1991386078","https://openalex.org/W2474894413"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}