{"id":"https://openalex.org/W7119695287","doi":"https://doi.org/10.2478/forma-2025-0017","title":"Elementary Number Theory Problems. Part XVIII","display_name":"Elementary Number Theory Problems. Part XVIII","publication_year":2025,"publication_date":"2025-09-01","ids":{"openalex":"https://openalex.org/W7119695287","doi":"https://doi.org/10.2478/forma-2025-0017"},"language":"en","primary_location":{"id":"doi:10.2478/forma-2025-0017","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2025-0017","pdf_url":"https://reference-global.com/download/article/10.2478/forma-2025-0017.pdf","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://reference-global.com/download/article/10.2478/forma-2025-0017.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5122614456","display_name":"Adam Grabowski","orcid":null},"institutions":[{"id":"https://openalex.org/I245364917","display_name":"University of Bia\u0142ystok","ror":"https://ror.org/01qaqcf60","country_code":"PL","type":"education","lineage":["https://openalex.org/I245364917"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Adam Grabowski","raw_affiliation_strings":["Faculty of Computer Science , University of Bia\u0142ystok , Poland"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science , University of Bia\u0142ystok , Poland","institution_ids":["https://openalex.org/I245364917"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5122614456"],"corresponding_institution_ids":["https://openalex.org/I245364917"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.87329265,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"1","first_page":"217","last_page":"229"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.4165000021457672,"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":0.4165000021457672,"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/T12170","display_name":"History and Theory of Mathematics","score":0.10440000146627426,"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/T12504","display_name":"Mathematics and Applications","score":0.07410000264644623,"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/number-theory","display_name":"Number theory","score":0.5792999863624573},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5360999703407288},{"id":"https://openalex.org/keywords/elementary-theory","display_name":"Elementary theory","score":0.3887999951839447},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3822999894618988},{"id":"https://openalex.org/keywords/real-number","display_name":"Real number","score":0.3133000135421753},{"id":"https://openalex.org/keywords/set-theory","display_name":"Set theory","score":0.2994000017642975}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7731000185012817},{"id":"https://openalex.org/C169654258","wikidata":"https://www.wikidata.org/wiki/Q12479","display_name":"Number theory","level":2,"score":0.5792999863624573},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5360999703407288},{"id":"https://openalex.org/C2779851814","wikidata":"https://www.wikidata.org/wiki/Q5358916","display_name":"Elementary theory","level":2,"score":0.3887999951839447},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3822999894618988},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35929998755455017},{"id":"https://openalex.org/C94020503","wikidata":"https://www.wikidata.org/wiki/Q12916","display_name":"Real number","level":2,"score":0.3133000135421753},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2994000017642975},{"id":"https://openalex.org/C2778408900","wikidata":"https://www.wikidata.org/wiki/Q1329258","display_name":"Cardinal number (linguistics)","level":2,"score":0.2980000078678131},{"id":"https://openalex.org/C47884741","wikidata":"https://www.wikidata.org/wiki/Q1166618","display_name":"Mathematical logic","level":2,"score":0.28850001096725464},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.28060001134872437},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.2741999924182892},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.26089999079704285},{"id":"https://openalex.org/C182408441","wikidata":"https://www.wikidata.org/wiki/Q824282","display_name":"Elementary function","level":2,"score":0.2547000050544739}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/forma-2025-0017","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2025-0017","pdf_url":"https://reference-global.com/download/article/10.2478/forma-2025-0017.pdf","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:repozytorium.uwb.edu.pl:11320/19737","is_oa":false,"landing_page_url":"http://hdl.handle.net/11320/19737","pdf_url":null,"source":{"id":"https://openalex.org/S4306400933","display_name":"The Repository of University in Bialystok (University in Bialystok)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210094198","host_organization_name":"University Clinical Hospital In Bialystok","host_organization_lineage":["https://openalex.org/I4210094198"],"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:10.2478/forma-2025-0017","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2025-0017","pdf_url":"https://reference-global.com/download/article/10.2478/forma-2025-0017.pdf","source":{"id":"https://openalex.org/S179241345","display_name":"Formalized Mathematics","issn_l":"1426-2630","issn":["1426-2630","1898-9934"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Formalized Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7119695287.pdf","grobid_xml":"https://content.openalex.org/works/W7119695287.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W67635987","https://openalex.org/W820979427","https://openalex.org/W2096712000","https://openalex.org/W2156683255","https://openalex.org/W2184838578","https://openalex.org/W2793914899","https://openalex.org/W3042429209","https://openalex.org/W3183811466","https://openalex.org/W4206503652","https://openalex.org/W4242652785","https://openalex.org/W4251092792","https://openalex.org/W4255749072","https://openalex.org/W4313308209","https://openalex.org/W4390622020","https://openalex.org/W7119957806"],"related_works":[],"abstract_inverted_index":{"Summary":[0],"In":[1],"this":[2],"paper":[3],"another":[4],"seven":[5],"problems":[6],"from":[7],"Wac\u0142aw":[8],"Sierpi\u0144ski\u2019s":[9],"book":[10],"\u201c250":[11],"Problems":[12],"in":[13],"Elementary":[14],"Number":[15],"Theory\u201d":[16],"are":[17],"formalized,":[18],"using":[19],"the":[20],"Mizar":[21],"formalism,":[22],"namely:":[23],"53,":[24],"61,":[25],"81,":[26],"90,":[27],"100,":[28],"156,":[29],"and":[30],"167.":[31]},"counts_by_year":[],"updated_date":"2026-03-07T13:37:22.277990","created_date":"2026-01-10T00:00:00"}
