{"id":"https://openalex.org/W2044773284","doi":"https://doi.org/10.1080/10586458.2008.10129026","title":"The 2-adic Valuation of Stirling Numbers","display_name":"The 2-adic Valuation of Stirling Numbers","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2044773284","doi":"https://doi.org/10.1080/10586458.2008.10129026","mag":"2044773284"},"language":"en","primary_location":{"id":"doi:10.1080/10586458.2008.10129026","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2008.10129026","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental 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/A5087774758","display_name":"Tewodros Amdeberhan","orcid":"https://orcid.org/0000-0002-9258-6533"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tewodros Amdeberhan","raw_affiliation_strings":["\n Department of Mathematics, Tulane University, New Orleans, LA 70118","Department of Mathematics, Tulane University, New Orleans, LA 70118"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics, Tulane University, New Orleans, LA 70118","institution_ids":["https://openalex.org/I114832834"]},{"raw_affiliation_string":"Department of Mathematics, Tulane University, New Orleans, LA 70118","institution_ids":["https://openalex.org/I114832834"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047904517","display_name":"Dante Manna","orcid":null},"institutions":[{"id":"https://openalex.org/I129902397","display_name":"Dalhousie University","ror":"https://ror.org/01e6qks80","country_code":"CA","type":"education","lineage":["https://openalex.org/I129902397"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Dante Manna","raw_affiliation_strings":["\n Department of Mathematics and Statistics, Dalhousie University, Nova Scotia, Canada B3H 3J5","Department of Mathematics and Statistics, Dalhousie University, Nova Scotia, Canada B3H 3J5"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics and Statistics, Dalhousie University, Nova Scotia, Canada B3H 3J5","institution_ids":["https://openalex.org/I129902397"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Dalhousie University, Nova Scotia, Canada B3H 3J5","institution_ids":["https://openalex.org/I129902397"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050468779","display_name":"Victor H. Moll","orcid":"https://orcid.org/0000-0002-0460-0076"},"institutions":[{"id":"https://openalex.org/I114832834","display_name":"Tulane University","ror":"https://ror.org/04vmvtb21","country_code":"US","type":"education","lineage":["https://openalex.org/I114832834"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Victor H. Moll","raw_affiliation_strings":["\n Department of Mathematics, Tulane University, New Orleans, LA 70118","Department of Mathematics, Tulane University, New Orleans, LA 70118"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\n Department of Mathematics, Tulane University, New Orleans, LA 70118","institution_ids":["https://openalex.org/I114832834"]},{"raw_affiliation_string":"Department of Mathematics, Tulane University, New Orleans, LA 70118","institution_ids":["https://openalex.org/I114832834"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":6.4237,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.97198166,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"69","last_page":"82"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","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/T11428","display_name":"Advanced Mathematical Identities","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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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/T11166","display_name":"Analytic Number Theory Research","score":0.995199978351593,"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/mathematics","display_name":"Mathematics","score":0.9203411340713501},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7612746357917786},{"id":"https://openalex.org/keywords/valuation","display_name":"Valuation (finance)","score":0.7426935434341431},{"id":"https://openalex.org/keywords/stirling-numbers-of-the-second-kind","display_name":"Stirling numbers of the second kind","score":0.690292477607727},{"id":"https://openalex.org/keywords/stirling-number","display_name":"Stirling number","score":0.6634551882743835},{"id":"https://openalex.org/keywords/stirling-engine","display_name":"Stirling engine","score":0.6234908103942871},{"id":"https://openalex.org/keywords/stirling-numbers-of-the-first-kind","display_name":"Stirling numbers of the first kind","score":0.5872290134429932},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39892062544822693},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3688085675239563},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3678586781024933},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.057975053787231445}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9203411340713501},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7612746357917786},{"id":"https://openalex.org/C186027771","wikidata":"https://www.wikidata.org/wiki/Q4008379","display_name":"Valuation (finance)","level":2,"score":0.7426935434341431},{"id":"https://openalex.org/C2284495","wikidata":"https://www.wikidata.org/wiki/Q2601117","display_name":"Stirling numbers of the second kind","level":2,"score":0.690292477607727},{"id":"https://openalex.org/C168902406","wikidata":"https://www.wikidata.org/wiki/Q80918","display_name":"Stirling number","level":2,"score":0.6634551882743835},{"id":"https://openalex.org/C27134321","wikidata":"https://www.wikidata.org/wiki/Q186212","display_name":"Stirling engine","level":2,"score":0.6234908103942871},{"id":"https://openalex.org/C93765064","wikidata":"https://www.wikidata.org/wiki/Q2657556","display_name":"Stirling numbers of the first kind","level":3,"score":0.5872290134429932},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39892062544822693},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3688085675239563},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3678586781024933},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.057975053787231445},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1080/10586458.2008.10129026","is_oa":false,"landing_page_url":"https://doi.org/10.1080/10586458.2008.10129026","pdf_url":null,"source":{"id":"https://openalex.org/S119636414","display_name":"Experimental Mathematics","issn_l":"1058-6458","issn":["1058-6458","1944-950X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Experimental Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.em/1227031898","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.em/1227031898","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.249.4185","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.249.4185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0707.3104v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.816.3616","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.816.3616","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://129.81.170.14/%7Evhm/papers_html/stirvaluation.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1497798330","https://openalex.org/W1729117569","https://openalex.org/W1740607451","https://openalex.org/W1978761820","https://openalex.org/W2001303594","https://openalex.org/W2014750446","https://openalex.org/W2033775157","https://openalex.org/W2035632264","https://openalex.org/W2048895430","https://openalex.org/W2079179253","https://openalex.org/W2166849481","https://openalex.org/W2170280237","https://openalex.org/W2320778555"],"related_works":["https://openalex.org/W1644555362","https://openalex.org/W2146355527","https://openalex.org/W4304776914","https://openalex.org/W2153676633","https://openalex.org/W4322832209","https://openalex.org/W2441714773","https://openalex.org/W4309828084","https://openalex.org/W2081524161","https://openalex.org/W4293439290","https://openalex.org/W1515501413"],"abstract_inverted_index":{"Abstract.":[0],"We":[1],"analyze":[2],"properties":[3],"of":[4,8,12],"the":[5,9,13],"2-adic":[6],"valuations":[7],"Stirling":[10],"numbers":[11],"second":[14],"kind.":[15],"1.":[16]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
