{"id":"https://openalex.org/W2992819554","doi":"https://doi.org/10.37236/1274","title":"A Short WZ-style Proof of Abel's Identity","display_name":"A Short WZ-style Proof of Abel's Identity","publication_year":1995,"publication_date":"1995-07-25","ids":{"openalex":"https://openalex.org/W2992819554","doi":"https://doi.org/10.37236/1274","mag":"2992819554"},"language":"en","primary_location":{"id":"doi:10.37236/1274","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1274","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r16/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/v3i2r16/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015661806","display_name":"Shalosh B. Ekhad","orcid":null},"institutions":[{"id":"https://openalex.org/I2801004183","display_name":"Temple College","ror":"https://ror.org/038s1ax16","country_code":"US","type":"education","lineage":["https://openalex.org/I2801004183"]},{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Shalosh B. Ekhad","raw_affiliation_strings":["Temple University"],"affiliations":[{"raw_affiliation_string":"Temple University","institution_ids":["https://openalex.org/I2801004183","https://openalex.org/I84392919"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026388827","display_name":"John E. Majewicz","orcid":null},"institutions":[{"id":"https://openalex.org/I2801004183","display_name":"Temple College","ror":"https://ror.org/038s1ax16","country_code":"US","type":"education","lineage":["https://openalex.org/I2801004183"]},{"id":"https://openalex.org/I84392919","display_name":"Temple University","ror":"https://ror.org/00kx1jb78","country_code":"US","type":"education","lineage":["https://openalex.org/I84392919"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. E. Majewicz","raw_affiliation_strings":["Temple University"],"affiliations":[{"raw_affiliation_string":"Temple University","institution_ids":["https://openalex.org/I2801004183","https://openalex.org/I84392919"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5015661806"],"corresponding_institution_ids":["https://openalex.org/I2801004183","https://openalex.org/I84392919"],"apc_list":null,"apc_paid":null,"fwci":0.582,"has_fulltext":true,"cited_by_count":9,"citation_normalized_percentile":{"value":0.69165279,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T13400","display_name":"Mathematical and Theoretical Analysis","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9609000086784363,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9526000022888184,"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/mathematics","display_name":"Mathematics","score":0.8796355724334717},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.8234697580337524},{"id":"https://openalex.org/keywords/style","display_name":"Style (visual arts)","score":0.518826425075531},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4914928674697876},{"id":"https://openalex.org/keywords/proof-assistant","display_name":"Proof assistant","score":0.4383585453033447},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3706851303577423},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3238128423690796},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.201972097158432},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09150731563568115},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.03829377889633179}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8796355724334717},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.8234697580337524},{"id":"https://openalex.org/C2776445246","wikidata":"https://www.wikidata.org/wiki/Q1792644","display_name":"Style (visual arts)","level":2,"score":0.518826425075531},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4914928674697876},{"id":"https://openalex.org/C203265346","wikidata":"https://www.wikidata.org/wiki/Q11387554","display_name":"Proof assistant","level":3,"score":0.4383585453033447},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3706851303577423},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3238128423690796},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.201972097158432},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09150731563568115},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.03829377889633179},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C107038049","wikidata":"https://www.wikidata.org/wiki/Q35986","display_name":"Aesthetics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/1274","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1274","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r16/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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.409.6056","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.6056","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimPDF/abel.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1274","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1274","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v3i2r16/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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2992819554.pdf","grobid_xml":"https://content.openalex.org/works/W2992819554.grobid-xml"},"referenced_works_count":3,"referenced_works":["https://openalex.org/W2010988398","https://openalex.org/W2075406627","https://openalex.org/W4233743347"],"related_works":["https://openalex.org/W2356229341","https://openalex.org/W2349768204","https://openalex.org/W2980963558","https://openalex.org/W4313326281","https://openalex.org/W574867512","https://openalex.org/W2387271333","https://openalex.org/W581389233","https://openalex.org/W2361120309","https://openalex.org/W2387981414","https://openalex.org/W1882246857"],"abstract_inverted_index":{"Using":[0],"a":[1,9],"certification":[2],"procedure":[3],"for":[4],"Abel-type":[5],"sums,":[6],"we":[7],"present":[8],"computerized":[10],"proof":[11],"of":[12],"Abel's":[13],"identity.":[14]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}