{"id":"https://openalex.org/W2788103771","doi":"https://doi.org/10.1080/00029890.2018.1408375","title":"The Harmonic Series Diverges","display_name":"The Harmonic Series Diverges","publication_year":2018,"publication_date":"2018-02-22","ids":{"openalex":"https://openalex.org/W2788103771","doi":"https://doi.org/10.1080/00029890.2018.1408375","mag":"2788103771"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2018.1408375","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1408375","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/A5021506153","display_name":"\u00c1ngel Plaza","orcid":"https://orcid.org/0000-0002-5077-6531"},"institutions":[{"id":"https://openalex.org/I119635470","display_name":"Universidad de Las Palmas de Gran Canaria","ror":"https://ror.org/01teme464","country_code":"ES","type":"education","lineage":["https://openalex.org/I119635470"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"\u00c1ngel Plaza","raw_affiliation_strings":["University of Las Palmas de Gran Canaria, Spain"],"affiliations":[{"raw_affiliation_string":"University of Las Palmas de Gran Canaria, Spain","institution_ids":["https://openalex.org/I119635470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5021506153"],"corresponding_institution_ids":["https://openalex.org/I119635470"],"apc_list":null,"apc_paid":null,"fwci":0.1572,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.60658224,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"125","issue":"3","first_page":"222","last_page":"222"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13175","display_name":"Historical Astronomy and Related Studies","score":0.08219999819993973,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T13175","display_name":"Historical Astronomy and Related Studies","score":0.08219999819993973,"subfield":{"id":"https://openalex.org/subfields/3103","display_name":"Astronomy and Astrophysics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.0746999979019165,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12504","display_name":"Mathematics and Applications","score":0.06669999659061432,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7892099022865295},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.47336336970329285},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4568397104740143},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.28884661197662354},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.21597939729690552},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.15972912311553955}],"concepts":[{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7892099022865295},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.47336336970329285},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4568397104740143},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.28884661197662354},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.21597939729690552},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.15972912311553955},{"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:10.1080/00029890.2018.1408375","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2018.1408375","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:https://accedacris.ulpgc.es:10553/51595","is_oa":false,"landing_page_url":"http://hdl.handle.net/10553/51595","pdf_url":null,"source":{"id":"https://openalex.org/S4306400136","display_name":"Acceda (Universidad de Las Palmas de Gran Canaria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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 [ISSN 0002-9890], v. 125 (3), p. 222","raw_type":""}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W3038180736","https://openalex.org/W1981552913"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
