{"id":"https://openalex.org/W4312207778","doi":"https://doi.org/10.1080/00029890.2022.2144090","title":"On a Nearly Forgotten Polynomial Result by P. Bohl","display_name":"On a Nearly Forgotten Polynomial Result by P. Bohl","publication_year":2022,"publication_date":"2022-12-09","ids":{"openalex":"https://openalex.org/W4312207778","doi":"https://doi.org/10.1080/00029890.2022.2144090"},"language":"en","primary_location":{"id":"doi:10.1080/00029890.2022.2144090","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2144090","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2144090?needAccess=true","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":true,"oa_status":"bronze","oa_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2144090?needAccess=true","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018086871","display_name":"Jan \u010cerm\u00e1k","orcid":"https://orcid.org/0000-0002-6884-917X"},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Jan \u010cerm\u00e1k","raw_affiliation_strings":["Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic"],"raw_orcid":"https://orcid.org/0000-0002-6884-917X","affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035413136","display_name":"Lucie Fedorkov\u00e1","orcid":null},"institutions":[{"id":"https://openalex.org/I60587646","display_name":"Brno University of Technology","ror":"https://ror.org/03613d656","country_code":"CZ","type":"education","lineage":["https://openalex.org/I60587646"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Lucie Fedorkov\u00e1","raw_affiliation_strings":["Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Faculty of Mechanical Engineering, Brno University of Technology, Technick\u00e1 2, 616 69 Brno, Czech Republic","institution_ids":["https://openalex.org/I60587646"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I60587646"],"apc_list":null,"apc_paid":null,"fwci":22.3608,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.99074525,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"130","issue":"2","first_page":"176","last_page":"181"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T12170","display_name":"History and Theory of Mathematics","score":0.9861999750137329,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9653000235557556,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9132000207901001,"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/heaven","display_name":"Heaven","score":0.4971521198749542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4260890781879425},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38352900743484497},{"id":"https://openalex.org/keywords/history","display_name":"History","score":0.2824462652206421},{"id":"https://openalex.org/keywords/archaeology","display_name":"Archaeology","score":0.06499701738357544}],"concepts":[{"id":"https://openalex.org/C2776727279","wikidata":"https://www.wikidata.org/wiki/Q4489450","display_name":"Heaven","level":2,"score":0.4971521198749542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4260890781879425},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38352900743484497},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.2824462652206421},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.06499701738357544}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00029890.2022.2144090","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2144090","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2144090?needAccess=true","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://dspace.vut.cz:11012/213732","is_oa":true,"landing_page_url":"http://hdl.handle.net/11012/213732","pdf_url":"http://hdl.handle.net/11012/213732","source":{"id":"https://openalex.org/S4306400317","display_name":"Brno University of Technology Digital Library (Brno University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I60587646","host_organization_name":"Brno University of Technology","host_organization_lineage":["https://openalex.org/I60587646"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.1080/00029890.2022.2144090","is_oa":true,"landing_page_url":"https://doi.org/10.1080/00029890.2022.2144090","pdf_url":"https://www.tandfonline.com/doi/pdf/10.1080/00029890.2022.2144090?needAccess=true","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4312207778.pdf","grobid_xml":"https://content.openalex.org/works/W4312207778.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1922534777","https://openalex.org/W1986804847","https://openalex.org/W2004184988","https://openalex.org/W2035118313","https://openalex.org/W2039917417","https://openalex.org/W2051693161","https://openalex.org/W2054033153","https://openalex.org/W2064016788","https://openalex.org/W2064539287","https://openalex.org/W2088979499","https://openalex.org/W2159888195","https://openalex.org/W2587284818","https://openalex.org/W2789572940","https://openalex.org/W2792096251","https://openalex.org/W4300473623"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1580046346","https://openalex.org/W2352341287","https://openalex.org/W2393997350","https://openalex.org/W3031758191","https://openalex.org/W2394382256","https://openalex.org/W2361883924","https://openalex.org/W56434366","https://openalex.org/W2184684692","https://openalex.org/W2303676025"],"abstract_inverted_index":{"Piers":[0],"Bohl":[1],"(1865\u20131921)":[2],"was":[3],"an":[4],"outstanding":[5],"Latvian":[6],"mathematician":[7],"whose":[8],"name":[9],"is":[10],"particularly":[11],"connected":[12],"with":[13,67],"several":[14],"crucial":[15],"achievements":[16],"that":[17,42],"were":[18],"ahead":[19],"of":[20,37,61,64,93,112],"their":[21,31],"time.":[22],"Unfortunately,":[23],"the":[24,49,59,62,74,100],"contemporary":[25],"mathematical":[26],"community":[27],"did":[28],"not":[29],"recognize":[30],"significance.":[32],"This":[33,97],"paper":[34,98],"discusses":[35],"one":[36],"Bohl\u2019s":[38,102],"results":[39],"from":[40],"1908":[41],"remained":[43],"nearly":[44],"unnoticed,":[45],"even":[46],"up":[47],"until":[48],"present.":[50],"It":[51],"concerns":[52],"a":[53,70],"general":[54],"complex":[55],"trinomial":[56],"and":[57,79,104],"answers":[58],"problem":[60],"distribution":[63],"its":[65],"roots":[66],"respect":[68],"to":[69],"given":[71],"modulus.":[72],"During":[73],"last":[75],"few":[76],"decades,":[77],"this":[78,94,120],"other":[80],"related":[81],"problems":[82],"have":[83],"been":[84],"extensively":[85],"studied":[86],"in":[87],"numerous":[88],"particular":[89],"cases,":[90],"without":[91],"knowledge":[92],"existing":[95],"answer.":[96],"recalls":[99],"aforementioned":[101],"result":[103],"illustrates":[105],"how":[106],"easily":[107],"it":[108],"can":[109],"imply":[110],"conclusions":[111],"recent":[113],"as":[114,116],"well":[115],"older":[117],"works":[118],"regarding":[119],"topic.":[121]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4}],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2025-10-10T00:00:00"}
