{"id":"https://openalex.org/W2041531262","doi":"https://doi.org/10.1016/s0168-0072(01)00035-5","title":"Logarithmic-exponential series","display_name":"Logarithmic-exponential series","publication_year":2001,"publication_date":"2001-07-01","ids":{"openalex":"https://openalex.org/W2041531262","doi":"https://doi.org/10.1016/s0168-0072(01)00035-5","mag":"2041531262"},"language":"en","primary_location":{"id":"doi:10.1016/s0168-0072(01)00035-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00035-5","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","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/A5088052582","display_name":"Lou van den Dries","orcid":null},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Lou van den Dries","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","University of Illinois at Urbana\u2013Champaign, Urbana, IL 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"University of Illinois at Urbana\u2013Champaign, Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046795804","display_name":"Angus Macintyre","orcid":"https://orcid.org/0000-0003-4740-5710"},"institutions":[{"id":"https://openalex.org/I98677209","display_name":"University of Edinburgh","ror":"https://ror.org/01nrxwf90","country_code":"GB","type":"education","lineage":["https://openalex.org/I98677209"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Angus Macintyre","raw_affiliation_strings":["University of Edinburgh, UK","University of Edinburgh (UK)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Edinburgh, UK","institution_ids":["https://openalex.org/I98677209"]},{"raw_affiliation_string":"University of Edinburgh (UK)","institution_ids":["https://openalex.org/I98677209"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057267162","display_name":"David Marker","orcid":null},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Marker","raw_affiliation_strings":["University of Illinois at Chicago, USA","University Of Illinois At Chicago USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Chicago, USA","institution_ids":["https://openalex.org/I39422238"]},{"raw_affiliation_string":"University Of Illinois At Chicago USA","institution_ids":["https://openalex.org/I39422238"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088052582"],"corresponding_institution_ids":["https://openalex.org/I157725225"],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":2.4824,"has_fulltext":false,"cited_by_count":62,"citation_normalized_percentile":{"value":0.87698875,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"111","issue":"1-2","first_page":"61","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9991000294685364,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9991000294685364,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9983000159263611,"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"}},{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9979000091552734,"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/laurent-series","display_name":"Laurent series","score":0.8250279426574707},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.8121625781059265},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8056350350379944},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.7757881879806519},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5703198909759521},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5451627373695374},{"id":"https://openalex.org/keywords/formal-power-series","display_name":"Formal power series","score":0.5416096448898315},{"id":"https://openalex.org/keywords/function-series","display_name":"Function series","score":0.515929102897644},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5151714086532593},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.49822330474853516},{"id":"https://openalex.org/keywords/alternating-series","display_name":"Alternating series","score":0.4711441099643707},{"id":"https://openalex.org/keywords/geometric-series","display_name":"Geometric series","score":0.4551200866699219},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.45367974042892456},{"id":"https://openalex.org/keywords/power-series","display_name":"Power series","score":0.4047544300556183},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.400301456451416},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.21337175369262695}],"concepts":[{"id":"https://openalex.org/C184311908","wikidata":"https://www.wikidata.org/wiki/Q425432","display_name":"Laurent series","level":2,"score":0.8250279426574707},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.8121625781059265},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8056350350379944},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.7757881879806519},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5703198909759521},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5451627373695374},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.5416096448898315},{"id":"https://openalex.org/C32929806","wikidata":"https://www.wikidata.org/wiki/Q1474614","display_name":"Function series","level":3,"score":0.515929102897644},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5151714086532593},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.49822330474853516},{"id":"https://openalex.org/C195597517","wikidata":"https://www.wikidata.org/wiki/Q438842","display_name":"Alternating series","level":3,"score":0.4711441099643707},{"id":"https://openalex.org/C153363305","wikidata":"https://www.wikidata.org/wiki/Q1306887","display_name":"Geometric series","level":3,"score":0.4551200866699219},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.45367974042892456},{"id":"https://openalex.org/C73905626","wikidata":"https://www.wikidata.org/wiki/Q206925","display_name":"Power series","level":2,"score":0.4047544300556183},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.400301456451416},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.21337175369262695},{"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":3,"locations":[{"id":"doi:10.1016/s0168-0072(01)00035-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0168-0072(01)00035-5","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.26.8001","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.26.8001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://math.usask.ca/fvk/Dmm.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.37.2114","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.37.2114","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uic.edu/~marker/le2.ps","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"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W102382135","https://openalex.org/W197432485","https://openalex.org/W933903550","https://openalex.org/W943250386","https://openalex.org/W1556425649","https://openalex.org/W1822440022","https://openalex.org/W1969046746","https://openalex.org/W1982232663","https://openalex.org/W1987577019","https://openalex.org/W1989057772","https://openalex.org/W1995742741","https://openalex.org/W2007202662","https://openalex.org/W2026226908","https://openalex.org/W2038720372","https://openalex.org/W2068293635","https://openalex.org/W2074771628","https://openalex.org/W2138250274","https://openalex.org/W2143993716","https://openalex.org/W2167266655","https://openalex.org/W2208506552","https://openalex.org/W2788498051","https://openalex.org/W4206559266","https://openalex.org/W4232141190","https://openalex.org/W4237811246","https://openalex.org/W4239614637","https://openalex.org/W4298290503","https://openalex.org/W6608019789"],"related_works":["https://openalex.org/W2369485329","https://openalex.org/W2372176563","https://openalex.org/W338744375","https://openalex.org/W3023620486","https://openalex.org/W2003058370","https://openalex.org/W49951760","https://openalex.org/W2788121901","https://openalex.org/W2304717000","https://openalex.org/W2045398435","https://openalex.org/W3021387869"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-04T09:04:59.091469","created_date":"2025-10-10T00:00:00"}
