{"id":"https://openalex.org/W3193698338","doi":"https://doi.org/10.1080/00029890.2021.1926185","title":"A Second Look at the Second Ratio Test","display_name":"A Second Look at the Second Ratio Test","publication_year":2021,"publication_date":"2021-08-06","ids":{"openalex":"https://openalex.org/W3193698338","doi":"https://doi.org/10.1080/00029890.2021.1926185","mag":"3193698338"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2021.1926185","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2021.1926185","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"The American Mathematical Monthly","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/A5000668247","display_name":"Christopher N. B. Hammond","orcid":"https://orcid.org/0000-0001-7327-0544"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christopher N. B. Hammond","raw_affiliation_strings":["View further author information"],"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016864937","display_name":"Edward Omey","orcid":"https://orcid.org/0000-0002-9376-1188"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Edward Omey","raw_affiliation_strings":["View further author information"],"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000668247"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12225662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"128","issue":"7","first_page":"579","last_page":"596"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13307","display_name":"Diverse Scientific and Engineering Research","score":0.7670999765396118,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13307","display_name":"Diverse Scientific and Engineering Research","score":0.7670999765396118,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11871","display_name":"Advanced Statistical Methods and Models","score":0.7422000169754028,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/test","display_name":"Test (biology)","score":0.7010201215744019},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6498802900314331},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.6268537044525146},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5439583659172058},{"id":"https://openalex.org/keywords/ratio-test","display_name":"Ratio test","score":0.5349162220954895},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44863903522491455},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32421910762786865},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.30620479583740234},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20471787452697754},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11197724938392639},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.10033729672431946},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.04874250292778015}],"concepts":[{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.7010201215744019},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6498802900314331},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6268537044525146},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5439583659172058},{"id":"https://openalex.org/C192914289","wikidata":"https://www.wikidata.org/wiki/Q165638","display_name":"Ratio test","level":2,"score":0.5349162220954895},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44863903522491455},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32421910762786865},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.30620479583740234},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20471787452697754},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11197724938392639},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.10033729672431946},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.04874250292778015},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"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":2,"locations":[{"id":"doi:10.1080/00029890.2021.1926185","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2021.1926185","pdf_url":null,"source":{"id":"https://openalex.org/S156280010","display_name":"American Mathematical Monthly","issn_l":"0002-9890","issn":["0002-9890","1930-0972"],"is_oa":false,"is_in_doaj":false,"is_core":false,"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":"The American Mathematical Monthly","raw_type":"journal-article"},{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/681165","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/bitstream/123456789/681165/2/A%20Second%20Look%20at%20the%20Second%20Ratio%20Test%20AMMonthly2021.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"American Mathematical Monthly, vol. 128 (7), (579-596)","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1278605765","https://openalex.org/W2067141529","https://openalex.org/W2068689146","https://openalex.org/W2096578919","https://openalex.org/W2402796444","https://openalex.org/W2593037566","https://openalex.org/W3000878109","https://openalex.org/W3043546266","https://openalex.org/W4236341997"],"related_works":["https://openalex.org/W1919101720","https://openalex.org/W96888382","https://openalex.org/W4386126592","https://openalex.org/W641782856","https://openalex.org/W2951907088","https://openalex.org/W1517908938","https://openalex.org/W4237434372","https://openalex.org/W1976730198","https://openalex.org/W2393140327","https://openalex.org/W2908895054"],"abstract_inverted_index":{"This":[0],"article":[1],"examines":[2],"a":[3,61],"class":[4],"of":[5],"series":[6],"convergence":[7,45],"tests,":[8,14,46],"known":[9],"as":[10],"the":[11,29,38],"mth":[12],"ratio":[13],"that":[15,53],"were":[16],"introduced":[17],"by":[18],"Sayel":[19],"A.":[20],"Ali":[21],"in":[22],"2008.":[23],"We":[24,35],"pay":[25],"particular":[26],"attention":[27],"to":[28],"case":[30],"where":[31],"m":[32],"=":[33],"2.":[34],"also":[36],"consider":[37],"relationship":[39],"between":[40],"these":[41],"tests":[42],"and":[43,50],"other":[44],"namely":[47],"Raabe\u2019s":[48],"test":[49],"Jamet\u2019s":[51],"test,":[52],"are":[54],"based":[55],"on":[56],"an":[57],"implicit":[58],"comparison":[59],"with":[60],"p-series.":[62]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}