{"id":"https://openalex.org/W3112898997","doi":"https://doi.org/10.1080/00029890.2020.1815477","title":"Reducing Multiple Integrals of Beukers\u2019s Type","display_name":"Reducing Multiple Integrals of Beukers\u2019s Type","publication_year":2020,"publication_date":"2020-11-25","ids":{"openalex":"https://openalex.org/W3112898997","doi":"https://doi.org/10.1080/00029890.2020.1815477","mag":"3112898997"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2020.1815477","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1815477","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/A5034622330","display_name":"Ulrich Abel","orcid":"https://orcid.org/0000-0003-1889-4850"},"institutions":[{"id":"https://openalex.org/I45155027","display_name":"Technische Hochschule Mittelhessen","ror":"https://ror.org/02qdc9985","country_code":"DE","type":"education","lineage":["https://openalex.org/I45155027"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ulrich Abel","raw_affiliation_strings":["Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Str. 13, 61169 Friedberg, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Str. 13, 61169 Friedberg, Germany","institution_ids":["https://openalex.org/I45155027"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062021486","display_name":"Vitaliy Kushnirevych","orcid":"https://orcid.org/0000-0002-0497-2697"},"institutions":[{"id":"https://openalex.org/I45155027","display_name":"Technische Hochschule Mittelhessen","ror":"https://ror.org/02qdc9985","country_code":"DE","type":"education","lineage":["https://openalex.org/I45155027"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vitaliy Kushnirevych","raw_affiliation_strings":["Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Str. 13, 61169 Friedberg, Germany"],"affiliations":[{"raw_affiliation_string":"Technische Hochschule Mittelhessen, Wilhelm-Leuschner-Str. 13, 61169 Friedberg, Germany","institution_ids":["https://openalex.org/I45155027"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5034622330"],"corresponding_institution_ids":["https://openalex.org/I45155027"],"apc_list":null,"apc_paid":null,"fwci":0.4979,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.67074943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"127","issue":"10","first_page":"918","last_page":"926"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9919999837875366,"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":0.9919999837875366,"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/T12504","display_name":"Mathematics and Applications","score":0.9695000052452087,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9474999904632568,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiple-integral","display_name":"Multiple integral","score":0.7321478724479675},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.729651689529419},{"id":"https://openalex.org/keywords/volume-integral","display_name":"Volume integral","score":0.6587843894958496},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6572005152702332},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5393556952476501},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.4961872696876526},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.34684500098228455},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.3428974151611328},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33857011795043945},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.2217971384525299},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15690824389457703},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.09937718510627747},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.07080340385437012}],"concepts":[{"id":"https://openalex.org/C54865166","wikidata":"https://www.wikidata.org/wiki/Q844937","display_name":"Multiple integral","level":2,"score":0.7321478724479675},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.729651689529419},{"id":"https://openalex.org/C51577431","wikidata":"https://www.wikidata.org/wiki/Q1788036","display_name":"Volume integral","level":3,"score":0.6587843894958496},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6572005152702332},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5393556952476501},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.4961872696876526},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.34684500098228455},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3428974151611328},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33857011795043945},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.2217971384525299},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15690824389457703},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.09937718510627747},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.07080340385437012},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","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},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00029890.2020.1815477","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00029890.2020.1815477","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2006484714","https://openalex.org/W2039362637","https://openalex.org/W2120062331","https://openalex.org/W2321174440","https://openalex.org/W2407245934","https://openalex.org/W2742255222","https://openalex.org/W2940970016","https://openalex.org/W3016843226","https://openalex.org/W4254788568"],"related_works":["https://openalex.org/W3021754063","https://openalex.org/W560143338","https://openalex.org/W3177264043","https://openalex.org/W3022120086","https://openalex.org/W2357722922","https://openalex.org/W4246303317","https://openalex.org/W2606175160","https://openalex.org/W3119526929","https://openalex.org/W2371541561","https://openalex.org/W2377200053"],"abstract_inverted_index":{"In":[0],"his":[1,30],"recent":[2],"note":[3],"in":[4],"this":[5,25,43],"Monthly,":[6],"Glasser":[7],"derived":[8],"a":[9,12,19,38],"formula":[10],"transforming":[11],"double":[13],"integral":[14],"of":[15,24,42],"Beukers\u2019s":[16],"type":[17],"to":[18,28,32,36],"single":[20],"integral.":[21],"The":[22],"purpose":[23],"article":[26],"is":[27],"generalize":[29],"result":[31],"multiple":[33],"integrals":[34],"and":[35],"present":[37],"short":[39],"new":[40],"proof":[41],"relation.":[44]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}