{"id":"https://openalex.org/W2923844635","doi":"https://doi.org/10.1090/mcom/3449","title":"Corrigendum to Explicit estimates on several summatory functions involving the Moebius function","display_name":"Corrigendum to Explicit estimates on several summatory functions involving the Moebius function","publication_year":2019,"publication_date":"2019-03-21","ids":{"openalex":"https://openalex.org/W2923844635","doi":"https://doi.org/10.1090/mcom/3449","mag":"2923844635"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3449","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3449","pdf_url":"https://www.ams.org/mcom/2019-88-319/S0025-5718-2019-03449-X/S0025-5718-2019-03449-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"erratum","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.ams.org/mcom/2019-88-319/S0025-5718-2019-03449-X/S0025-5718-2019-03449-X.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090497983","display_name":"Olivier Ramar\u00e9","orcid":"https://orcid.org/0000-0002-8765-0465"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210138206","display_name":"Institut de Math\u00e9matiques de Marseille","ror":"https://ror.org/042h2y225","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I21491767","https://openalex.org/I4210138206","https://openalex.org/I4210141950","https://openalex.org/I4210142724"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Olivier Ramar\u00e9","raw_affiliation_strings":["CNRS / Institut de Math\u00c3\u00a9matiques de Marseilles 77373, Aix-Marseille Universit\u00c3\u00a9, Campus de Luminy Case 907, 13288 MARSEILLE Cedex 9, France"],"affiliations":[{"raw_affiliation_string":"CNRS / Institut de Math\u00c3\u00a9matiques de Marseilles 77373, Aix-Marseille Universit\u00c3\u00a9, Campus de Luminy Case 907, 13288 MARSEILLE Cedex 9, France","institution_ids":["https://openalex.org/I4210138206","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090497983"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210138206"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.10393141,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"88","issue":"319","first_page":"2383","last_page":"2388"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","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/T11166","display_name":"Analytic Number Theory Research","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/T11191","display_name":"Mathematical functions and polynomials","score":0.9987999796867371,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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":0.8854118585586548},{"id":"https://openalex.org/keywords/mistake","display_name":"Mistake","score":0.7962355613708496},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.788659930229187},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6548362970352173},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46604740619659424},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4380896985530853},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.39313629269599915},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.380525141954422},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3290627598762512},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21838080883026123},{"id":"https://openalex.org/keywords/orthodontics","display_name":"Orthodontics","score":0.04076901078224182},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.0347953736782074}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8854118585586548},{"id":"https://openalex.org/C2777179996","wikidata":"https://www.wikidata.org/wiki/Q911222","display_name":"Mistake","level":2,"score":0.7962355613708496},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.788659930229187},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6548362970352173},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46604740619659424},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4380896985530853},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.39313629269599915},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.380525141954422},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3290627598762512},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21838080883026123},{"id":"https://openalex.org/C29694066","wikidata":"https://www.wikidata.org/wiki/Q118301","display_name":"Orthodontics","level":1,"score":0.04076901078224182},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0347953736782074},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1090/mcom/3449","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3449","pdf_url":"https://www.ams.org/mcom/2019-88-319/S0025-5718-2019-03449-X/S0025-5718-2019-03449-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1090/mcom/3449","is_oa":true,"landing_page_url":"https://doi.org/10.1090/mcom/3449","pdf_url":"https://www.ams.org/mcom/2019-88-319/S0025-5718-2019-03449-X/S0025-5718-2019-03449-X.pdf","source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2923844635.pdf","grobid_xml":"https://content.openalex.org/works/W2923844635.grobid-xml"},"referenced_works_count":1,"referenced_works":["https://openalex.org/W2010955982"],"related_works":["https://openalex.org/W1590719878","https://openalex.org/W4244271513","https://openalex.org/W4376622330","https://openalex.org/W2365974527","https://openalex.org/W4306382224","https://openalex.org/W4226517682","https://openalex.org/W3108263396","https://openalex.org/W1561425952","https://openalex.org/W2496555895","https://openalex.org/W2895872277"],"abstract_inverted_index":{"Our":[0],"earlier":[1],"paper":[2],"[Math.":[3],"Comp.":[4],"84":[5],"(2015),":[6],"no.":[7],"293,":[8],"1359\u20131387]":[9],"had":[10],"a":[11],"sign":[12],"mistake":[13],"(in":[14],"the":[15,43],"definition":[16],"of":[17],"<inline-formula":[18],"content-type=\"math/mathml\">":[19],"<mml:math":[20],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[21],"alttext=\"h":[22],"prime\">":[23],"<mml:semantics>":[24],"<mml:msup>":[25],"<mml:mi>h</mml:mi>":[26],"<mml:mo>\u2032</mml:mo>":[27],"</mml:msup>":[28],"<mml:annotation":[29],"encoding=\"application/x-tex\">h\u2019</mml:annotation>":[30],"</mml:semantics>":[31],"</mml:math>":[32],"</inline-formula>":[33],"in":[34],"Lemma":[35],"3.2)":[36],"that":[37],"has":[38],"some":[39],"consequences.":[40],"We":[41],"present":[42],"required":[44],"modifications.":[45],"The":[46],"final":[47],"results":[48],"are":[49],"all":[50],"improved.":[51]},"counts_by_year":[],"updated_date":"2026-04-22T06:01:30.510260","created_date":"2025-10-10T00:00:00"}