{"id":"https://openalex.org/W4388201256","doi":"https://doi.org/10.2478/forma-2023-0009","title":"Elementary Number Theory Problems. Part VIII","display_name":"Elementary Number Theory Problems. Part VIII","publication_year":2023,"publication_date":"2023-09-01","ids":{"openalex":"https://openalex.org/W4388201256","doi":"https://doi.org/10.2478/forma-2023-0009"},"language":"en","primary_location":{"id":"doi:10.2478/forma-2023-0009","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0009","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0009","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://sciendo.com/pdf/10.2478/forma-2023-0009","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5090121372","display_name":"Artur Korni\u0142owicz","orcid":"https://orcid.org/0000-0002-4565-9082"},"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":"Artur Korni\u0142owicz","raw_affiliation_strings":["Faculty of Computer Science University of Bia\u0142ystok Poland"],"raw_orcid":"https://orcid.org/0000-0002-4565-9082","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/A5090121372"],"corresponding_institution_ids":["https://openalex.org/I245364917"],"apc_list":null,"apc_paid":null,"fwci":0.3313,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66320287,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"1","first_page":"87","last_page":"100"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10126","display_name":"Logic, programming, and type systems","score":0.9939000010490417,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11424","display_name":"Security and Verification in Computing","score":0.9900000095367432,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/continuation","display_name":"Continuation","score":0.8500890731811523},{"id":"https://openalex.org/keywords/formalism","display_name":"Formalism (music)","score":0.6866362690925598},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6168506145477295},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5069041848182678},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.47288602590560913},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.41504496335983276},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35760608315467834},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3112749457359314},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.19106000661849976},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14902719855308533},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05484354496002197}],"concepts":[{"id":"https://openalex.org/C88626702","wikidata":"https://www.wikidata.org/wiki/Q1128903","display_name":"Continuation","level":2,"score":0.8500890731811523},{"id":"https://openalex.org/C73301696","wikidata":"https://www.wikidata.org/wiki/Q5469984","display_name":"Formalism (music)","level":3,"score":0.6866362690925598},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6168506145477295},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5069041848182678},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.47288602590560913},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.41504496335983276},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35760608315467834},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3112749457359314},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.19106000661849976},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14902719855308533},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05484354496002197},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C558565934","wikidata":"https://www.wikidata.org/wiki/Q2743","display_name":"Musical","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.2478/forma-2023-0009","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0009","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0009","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:11320/15424","is_oa":true,"landing_page_url":"http://hdl.handle.net/11320/15424","pdf_url":"https://repozytorium.uwb.edu.pl/jspui/bitstream/11320/15424/1/10.2478_forma-2023-0009.pdf","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.2478/forma-2023-0009","is_oa":true,"landing_page_url":"https://doi.org/10.2478/forma-2023-0009","pdf_url":"https://sciendo.com/pdf/10.2478/forma-2023-0009","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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388201256.pdf"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1625130818","https://openalex.org/W2137878433","https://openalex.org/W2184838578","https://openalex.org/W2770430340","https://openalex.org/W3042429209","https://openalex.org/W4313308188","https://openalex.org/W4313308209","https://openalex.org/W4313308224","https://openalex.org/W4386297760"],"related_works":["https://openalex.org/W2352275403","https://openalex.org/W2159885618","https://openalex.org/W1994937216","https://openalex.org/W2199313715","https://openalex.org/W2012352190","https://openalex.org/W4210910892","https://openalex.org/W2206497186","https://openalex.org/W4225691068","https://openalex.org/W2277985843","https://openalex.org/W1542828544"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2,49],"paper":[3,50],"problems":[4],"25,":[5],"86,":[6],"88,":[7],"105,":[8],"111,":[9],"137\u2013142,":[10],"and":[11,34],"184\u2013185":[12],"from":[13,31,45],"[12]":[14],"are":[15],"formalized,":[16],"using":[17],"the":[18,29],"Mizar":[19],"formalism":[20],"[3],":[21],"[1],":[22],"[4].":[23],"This":[24],"is":[25],"a":[26],"continuation":[27],"of":[28,42],"work":[30],"[5],":[32],"[6],":[33],"[2]":[35],"as":[36,51],"suggested":[37],"in":[38,48,53],"[8].":[39],"The":[40],"automatization":[41],"selected":[43],"lemmas":[44],"[11]":[46],"proven":[47],"proposed":[52],"[9]":[54],"could":[55],"be":[56],"an":[57],"interesting":[58],"future":[59],"work.":[60]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}