{"id":"https://openalex.org/W2029124363","doi":"https://doi.org/10.1016/s0196-8858(02)00034-9","title":"Some binomial series obtained by the WZ-method","display_name":"Some binomial series obtained by the WZ-method","publication_year":2002,"publication_date":"2002-11-01","ids":{"openalex":"https://openalex.org/W2029124363","doi":"https://doi.org/10.1016/s0196-8858(02)00034-9","mag":"2029124363"},"language":"en","primary_location":{"id":"doi:10.1016/s0196-8858(02)00034-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0196-8858(02)00034-9","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"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":"Advances in Applied Mathematics","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/A5013483566","display_name":"Jes\u00fas Guillera","orcid":"https://orcid.org/0000-0001-9832-6882"},"institutions":[{"id":"https://openalex.org/I4210121148","display_name":"Zaragoza Logistics Center","ror":"https://ror.org/02tpwnr26","country_code":"ES","type":"facility","lineage":["https://openalex.org/I4210121148"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Jes\u00fas Guillera","raw_affiliation_strings":["Avda. Cesareo Alierta 31, esc. izda 4-A, Zaragoza 50008, Spain","Avda. Cesareo Alierta 31, esc. izda 4-A, Zaragoza 50008, Spain#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Avda. Cesareo Alierta 31, esc. izda 4-A, Zaragoza 50008, Spain","institution_ids":["https://openalex.org/I4210121148"]},{"raw_affiliation_string":"Avda. Cesareo Alierta 31, esc. izda 4-A, Zaragoza 50008, Spain#TAB#","institution_ids":["https://openalex.org/I4210121148"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5013483566"],"corresponding_institution_ids":["https://openalex.org/I4210121148"],"apc_list":{"value":2670,"currency":"USD","value_usd":2670},"apc_paid":null,"fwci":2.0686,"has_fulltext":false,"cited_by_count":81,"citation_normalized_percentile":{"value":0.84011843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"29","issue":"4","first_page":"599","last_page":"603"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9994000196456909,"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":0.9994000196456909,"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/T11191","display_name":"Mathematical functions and polynomials","score":0.9839000105857849,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T11166","display_name":"Analytic Number Theory Research","score":0.9704999923706055,"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/ramanujans-sum","display_name":"Ramanujan's sum","score":0.9432272911071777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9431171417236328},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6159540414810181},{"id":"https://openalex.org/keywords/binomial-coefficient","display_name":"Binomial coefficient","score":0.5542202591896057},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.4809543490409851},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30776992440223694},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2902930974960327}],"concepts":[{"id":"https://openalex.org/C131220774","wikidata":"https://www.wikidata.org/wiki/Q1441456","display_name":"Ramanujan's sum","level":2,"score":0.9432272911071777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9431171417236328},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6159540414810181},{"id":"https://openalex.org/C34718186","wikidata":"https://www.wikidata.org/wiki/Q209875","display_name":"Binomial coefficient","level":2,"score":0.5542202591896057},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.4809543490409851},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30776992440223694},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2902930974960327},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0196-8858(02)00034-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0196-8858(02)00034-9","pdf_url":null,"source":{"id":"https://openalex.org/S164906323","display_name":"Advances in Applied Mathematics","issn_l":"0196-8858","issn":["0196-8858","1090-2074"],"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":"Advances in Applied Mathematics","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":4,"referenced_works":["https://openalex.org/W1806291414","https://openalex.org/W1832278448","https://openalex.org/W2067896061","https://openalex.org/W4251793410"],"related_works":["https://openalex.org/W2963506815","https://openalex.org/W4297780797","https://openalex.org/W4255540175","https://openalex.org/W2036311999","https://openalex.org/W1572536327","https://openalex.org/W1619654942","https://openalex.org/W4387298493","https://openalex.org/W4212980217","https://openalex.org/W3214798365","https://openalex.org/W4225635267"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-02T09:04:35.204637","created_date":"2025-10-10T00:00:00"}