{"id":"https://openalex.org/W4414336433","doi":"https://doi.org/10.1007/s00153-025-00980-7","title":"On Hilbert\u2019s \u201cgeometric\u201d tenth problem for odd characteristic function fields","display_name":"On Hilbert\u2019s \u201cgeometric\u201d tenth problem for odd characteristic function fields","publication_year":2025,"publication_date":"2025-09-18","ids":{"openalex":"https://openalex.org/W4414336433","doi":"https://doi.org/10.1007/s00153-025-00980-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00153-025-00980-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-025-00980-7","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","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/A5119669847","display_name":"Brian Tyrrell-Nic Dhonncha","orcid":null},"institutions":[{"id":"https://openalex.org/I149919469","display_name":"California Polytechnic State University","ror":"https://ror.org/001gpfp45","country_code":"US","type":"education","lineage":["https://openalex.org/I149919469"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Brian Tyrrell-Nic Dhonncha","raw_affiliation_strings":["Mathematics Department, California Polytechnic State University, San Luis Obispo, CA, 93407, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Department, California Polytechnic State University, San Luis Obispo, CA, 93407, USA","institution_ids":["https://openalex.org/I149919469"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5119669847"],"corresponding_institution_ids":["https://openalex.org/I149919469"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.30647938,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"65","issue":"1","first_page":"71","last_page":"97"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9950000047683716,"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":0.9950000047683716,"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/T12037","display_name":"Algebraic and Geometric Analysis","score":0.9746000170707703,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/T12812","display_name":"Meromorphic and Entire Functions","score":0.9686999917030334,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/unary-operation","display_name":"Unary operation","score":0.8068000078201294},{"id":"https://openalex.org/keywords/decidability","display_name":"Decidability","score":0.6643999814987183},{"id":"https://openalex.org/keywords/algebraically-closed-field","display_name":"Algebraically closed field","score":0.6310999989509583},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5565999746322632},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.532800018787384},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.47850000858306885},{"id":"https://openalex.org/keywords/constant-function","display_name":"Constant function","score":0.4683000147342682},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4650999903678894},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.44940000772476196}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8378999829292297},{"id":"https://openalex.org/C78023250","wikidata":"https://www.wikidata.org/wiki/Q657596","display_name":"Unary operation","level":2,"score":0.8068000078201294},{"id":"https://openalex.org/C153269930","wikidata":"https://www.wikidata.org/wiki/Q430001","display_name":"Decidability","level":2,"score":0.6643999814987183},{"id":"https://openalex.org/C203701370","wikidata":"https://www.wikidata.org/wiki/Q1047547","display_name":"Algebraically closed field","level":2,"score":0.6310999989509583},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5565999746322632},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.532800018787384},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.47940000891685486},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.47850000858306885},{"id":"https://openalex.org/C153658351","wikidata":"https://www.wikidata.org/wiki/Q746264","display_name":"Constant function","level":3,"score":0.4683000147342682},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4650999903678894},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.44940000772476196},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.43869999051094055},{"id":"https://openalex.org/C2776235265","wikidata":"https://www.wikidata.org/wiki/Q18392052","display_name":"Fragment (logic)","level":2,"score":0.43070000410079956},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4246000051498413},{"id":"https://openalex.org/C89290136","wikidata":"https://www.wikidata.org/wiki/Q550791","display_name":"Algebraic extension","level":5,"score":0.41839998960494995},{"id":"https://openalex.org/C103738662","wikidata":"https://www.wikidata.org/wiki/Q577835","display_name":"Field extension","level":3,"score":0.41449999809265137},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4131999909877777},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.38280001282691956},{"id":"https://openalex.org/C2778795570","wikidata":"https://www.wikidata.org/wiki/Q5508772","display_name":"Function field","level":3,"score":0.3790000081062317},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.3767000138759613},{"id":"https://openalex.org/C52370388","wikidata":"https://www.wikidata.org/wiki/Q752532","display_name":"Regular language","level":3,"score":0.33309999108314514},{"id":"https://openalex.org/C148607811","wikidata":"https://www.wikidata.org/wiki/Q746863","display_name":"Algebraic function","level":3,"score":0.28200000524520874},{"id":"https://openalex.org/C203264685","wikidata":"https://www.wikidata.org/wiki/Q2328174","display_name":"Atomic formula","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C182327082","wikidata":"https://www.wikidata.org/wiki/Q428290","display_name":"Algebraic closure","level":5,"score":0.26820001006126404},{"id":"https://openalex.org/C20538924","wikidata":"https://www.wikidata.org/wiki/Q822139","display_name":"Characteristic function (probability theory)","level":3,"score":0.2547000050544739}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00153-025-00980-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00153-025-00980-7","pdf_url":null,"source":{"id":"https://openalex.org/S188076996","display_name":"Archive for Mathematical Logic","issn_l":"0933-5846","issn":["0933-5846","1432-0665"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Archive for Mathematical Logic","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W132569469","https://openalex.org/W280381788","https://openalex.org/W1535751327","https://openalex.org/W1557415002","https://openalex.org/W1651628549","https://openalex.org/W1867785326","https://openalex.org/W1965535978","https://openalex.org/W1969836086","https://openalex.org/W1970222866","https://openalex.org/W1982105671","https://openalex.org/W1992592206","https://openalex.org/W2002562642","https://openalex.org/W2004744288","https://openalex.org/W2015376829","https://openalex.org/W2035776188","https://openalex.org/W2050646345","https://openalex.org/W2056133231","https://openalex.org/W2057642197","https://openalex.org/W2068975525","https://openalex.org/W2073748223","https://openalex.org/W2084867265","https://openalex.org/W2109200492","https://openalex.org/W2151063322","https://openalex.org/W2152716793","https://openalex.org/W2164935352","https://openalex.org/W2331286177","https://openalex.org/W2522542574","https://openalex.org/W2963100664","https://openalex.org/W2963818566","https://openalex.org/W3103625601","https://openalex.org/W3130727218","https://openalex.org/W4232290633","https://openalex.org/W4234648161","https://openalex.org/W4243137675","https://openalex.org/W4244948438","https://openalex.org/W4247842726","https://openalex.org/W4292027090","https://openalex.org/W4293193836","https://openalex.org/W4388275573","https://openalex.org/W4401382325","https://openalex.org/W4413940939"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}