{"id":"https://openalex.org/W1807735139","doi":"https://doi.org/10.37236/1277","title":"A High-tech Proof of the Mills-Robbins-Rumsey Determinant Formula","display_name":"A High-tech Proof of the Mills-Robbins-Rumsey Determinant Formula","publication_year":1995,"publication_date":"1995-10-03","ids":{"openalex":"https://openalex.org/W1807735139","doi":"https://doi.org/10.37236/1277","mag":"1807735139"},"language":"en","primary_location":{"id":"doi:10.37236/1277","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1277","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r19/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r19/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112203336","display_name":"Herbert S. Wilf","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Herbert S. Wilf","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5064920778","display_name":"Marko Petkov\u0161ek","orcid":"https://orcid.org/0000-0001-8629-350X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marko Petkovsek","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112203336"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1677,"has_fulltext":true,"cited_by_count":23,"citation_normalized_percentile":{"value":0.85573318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9991999864578247,"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":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/george","display_name":"George (robot)","score":0.7292447686195374},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7099300622940063},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5353809595108032},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35016417503356934},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3399072289466858},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33859506249427795},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3295744061470032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20024901628494263},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14203989505767822},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.07096263766288757}],"concepts":[{"id":"https://openalex.org/C67101536","wikidata":"https://www.wikidata.org/wiki/Q5535910","display_name":"George (robot)","level":2,"score":0.7292447686195374},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7099300622940063},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5353809595108032},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35016417503356934},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3399072289466858},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33859506249427795},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3295744061470032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20024901628494263},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14203989505767822},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.07096263766288757},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/1277","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1277","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r19/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/1277","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1277","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r19/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1807735139.pdf","grobid_xml":"https://content.openalex.org/works/W1807735139.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1982601200","https://openalex.org/W1983882250","https://openalex.org/W1991191994","https://openalex.org/W2004886290","https://openalex.org/W2008052995","https://openalex.org/W2018339436","https://openalex.org/W2022041309","https://openalex.org/W2065153708","https://openalex.org/W2094965692","https://openalex.org/W2122300900","https://openalex.org/W2127462597","https://openalex.org/W2138916124","https://openalex.org/W4213221006","https://openalex.org/W6821245209"],"related_works":["https://openalex.org/W1907436174","https://openalex.org/W4240638320","https://openalex.org/W2135508259","https://openalex.org/W2490303147","https://openalex.org/W2903353145","https://openalex.org/W1589220756","https://openalex.org/W2910657826","https://openalex.org/W2808178578","https://openalex.org/W2481781685","https://openalex.org/W2993721864"],"abstract_inverted_index":{"We":[0],"give":[1],"a":[2,17],"computer":[3],"generated":[4],"proof":[5],"of":[6,9,19],"the":[7,10],"formula":[8],"title,":[11],"based":[12],"on":[13],"Zeilberger's":[14],"algorithm":[15],"and":[16],"method":[18],"George":[20],"Andrews.":[21]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}