{"id":"https://openalex.org/W4404568614","doi":"https://doi.org/10.1112/blms.13191","title":"Sparsity of stable primes for dynamical sequences","display_name":"Sparsity of stable primes for dynamical sequences","publication_year":2024,"publication_date":"2024-11-20","ids":{"openalex":"https://openalex.org/W4404568614","doi":"https://doi.org/10.1112/blms.13191"},"language":"en","primary_location":{"id":"doi:10.1112/blms.13191","doi":"https://doi.org/10.1112/blms.13191","is_oa":true,"landing_page_url":"https://doi.org/10.1112/blms.13191","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.13191","source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.13191","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000793081","display_name":"Joachim K\u00f6nig","orcid":"https://orcid.org/0000-0003-0008-3283","observed_orcids":["https://orcid.org/0000-0003-0008-3283"]},"institutions":[{"id":"https://openalex.org/I141074810","display_name":"Korea National University of Education","ror":"https://ror.org/03c9fpk55","country_code":"KR","type":"education","lineage":["https://openalex.org/I141074810"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Joachim K\u00f6nig","raw_affiliation_strings":["Department of Mathematics Education Korea National University of Education Cheongju South Korea","Department of Mathematics Education, Korea National University of Education, Cheongju, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics Education Korea National University of Education Cheongju South Korea","institution_ids":["https://openalex.org/I141074810"]},{"raw_affiliation_string":"Department of Mathematics Education, Korea National University of Education, Cheongju, South Korea","institution_ids":["https://openalex.org/I141074810"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5000793081"],"corresponding_institution_ids":["https://openalex.org/I141074810"],"apc_list":{"value":3780,"currency":"USD","value_usd":3780},"apc_paid":{"value":3780,"currency":"USD","value_usd":3780},"fwci":1.3403,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.81322199,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"57","issue":"1","first_page":"203","last_page":"217"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.7196999788284302,"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"}},"topics":[{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.7196999788284302,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.06949999928474426,"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/T11166","display_name":"Analytic Number Theory Research","score":0.05420000106096268,"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/prime-density","display_name":"prime density","score":0.550000011920929},{"id":"https://openalex.org/keywords/dickson-polynomials","display_name":"Dickson polynomials","score":0.902999997138977},{"id":"https://openalex.org/keywords/number-fields","display_name":"number fields","score":0.5490000247955322}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.92696213722229},{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.6735532879829407},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6303932070732117},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.5345325469970703},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5317047238349915},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4855225086212158},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4771413505077362},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.45603689551353455},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4330242872238159},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39794138073921204},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3650659918785095},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07680010795593262},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1112/blms.13191","doi":"https://doi.org/10.1112/blms.13191","is_oa":true,"landing_page_url":"https://doi.org/10.1112/blms.13191","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.13191","source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2402.18772","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2402.18772","pdf_url":"https://arxiv.org/pdf/2402.18772","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2402.18772","doi":"https://doi.org/10.48550/arxiv.2402.18772","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2402.18772","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1112/blms.13191","doi":"https://doi.org/10.1112/blms.13191","is_oa":true,"landing_page_url":"https://doi.org/10.1112/blms.13191","pdf_url":"https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/blms.13191","source":{"id":"https://openalex.org/S39770307","display_name":"Bulletin of the London Mathematical Society","issn_l":"0024-6093","issn":["0024-6093","1469-2120"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-2","norway-2","poland-100","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the London Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G4015879085","display_name":null,"funder_award_id":"RS-2024-00462910","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G6937755832","display_name":null,"funder_award_id":"RS-2023-00239917","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4404568614.pdf","grobid_xml":"https://content.openalex.org/works/W4404568614.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1981330140","https://openalex.org/W2013115293","https://openalex.org/W2066273529","https://openalex.org/W2072678820","https://openalex.org/W2072788806","https://openalex.org/W2074112081","https://openalex.org/W2084704655","https://openalex.org/W2257829084","https://openalex.org/W2490728539","https://openalex.org/W2499063706","https://openalex.org/W2605934764","https://openalex.org/W2807891206","https://openalex.org/W2947500396","https://openalex.org/W2978146303","https://openalex.org/W3091887355","https://openalex.org/W4221145054","https://openalex.org/W4245961525","https://openalex.org/W4312239392","https://openalex.org/W4388839645"],"related_works":["https://openalex.org/W2399505800","https://openalex.org/W2018253224","https://openalex.org/W333749553","https://openalex.org/W1966623661","https://openalex.org/W2942288111","https://openalex.org/W2039516134","https://openalex.org/W1509594480","https://openalex.org/W2045634533","https://openalex.org/W2062250216","https://openalex.org/W4386552415"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"show":[2],"that":[3,44],"a":[4,10,25,45,54,64],"dynamical":[5,33],"sequence":[6],"of":[7,15,19,48,58,66],"polynomials":[8],"over":[9],"number":[11],"field":[12],"whose":[13,49],"set":[14],"stable":[16],"primes":[17,60],"is":[18],"positive":[20,55],"density":[21,56],"must":[22,61],"necessarily":[23,62],"have":[24],"very":[26],"restricted,":[27],"and,":[28],"in":[29],"particular,":[30],"virtually":[31],"prosolvable":[32],"Galois":[34],"group.":[35],"Together":[36],"with":[37],"existing":[38],"heuristics,":[39],"our":[40],"results":[41],"suggest,":[42],"moreover,":[43],"polynomial":[46],"all":[47],"iterates":[50],"are":[51],"irreducible":[52],"modulo":[53],"subset":[57],"the":[59],"be":[63],"composition":[65],"linear":[67],"functions,":[68],"monomials,":[69],"and":[70],"Dickson":[71],"polynomials.":[72]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2025-10-10T00:00:00"}
