{"id":"https://openalex.org/W2003365160","doi":"https://doi.org/10.1007/s00200-003-0143-3","title":"A Comparision of the Number of Rational Places of Certain Function Fields to the Hasse-Weil Bounds","display_name":"A Comparision of the Number of Rational Places of Certain Function Fields to the Hasse-Weil Bounds","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2003365160","doi":"https://doi.org/10.1007/s00200-003-0143-3","mag":"2003365160"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-003-0143-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-003-0143-3","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","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/A5091179781","display_name":"Marko Moisio","orcid":null},"institutions":[{"id":"https://openalex.org/I79765343","display_name":"University of Vaasa","ror":"https://ror.org/03769b225","country_code":"FI","type":"education","lineage":["https://openalex.org/I79765343"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Marko J. Moisio","raw_affiliation_strings":["Department of Mathematical Sciences, University of Vaasa, 700, 65101, Vaasa, Finland","University of Vaasa, Department of Mathematical Sciences, Finland#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, University of Vaasa, 700, 65101, Vaasa, Finland","institution_ids":["https://openalex.org/I79765343"]},{"raw_affiliation_string":"University of Vaasa, Department of Mathematical Sciences, Finland#TAB#","institution_ids":["https://openalex.org/I79765343"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110005099","display_name":"Keijo V\ufffd\ufffdn\ufffdnen","orcid":null},"institutions":[{"id":"https://openalex.org/I98381234","display_name":"University of Oulu","ror":"https://ror.org/03yj89h83","country_code":"FI","type":"education","lineage":["https://openalex.org/I98381234"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Keijo O. V\ufffd\ufffdn\ufffdnen","raw_affiliation_strings":["University of Oulu, Department of Mathematical Sciences, Finland#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Oulu, Department of Mathematical Sciences, Finland#TAB#","institution_ids":["https://openalex.org/I98381234"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5091179781"],"corresponding_institution_ids":["https://openalex.org/I79765343"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09851848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"5","first_page":"341","last_page":"359"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9994999766349792,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.996999979019165,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8532691597938538},{"id":"https://openalex.org/keywords/hasse-principle","display_name":"Hasse principle","score":0.8277581334114075},{"id":"https://openalex.org/keywords/kronecker-delta","display_name":"Kronecker delta","score":0.7823953628540039},{"id":"https://openalex.org/keywords/function-field","display_name":"Function field","score":0.6358097791671753},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5723495483398438},{"id":"https://openalex.org/keywords/rational-function","display_name":"Rational function","score":0.5289595127105713},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4895228147506714},{"id":"https://openalex.org/keywords/algebraic-number-field","display_name":"Algebraic number field","score":0.46202147006988525},{"id":"https://openalex.org/keywords/rational-number","display_name":"Rational number","score":0.458700567483902},{"id":"https://openalex.org/keywords/dirichlet-distribution","display_name":"Dirichlet distribution","score":0.43603917956352234},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.3924139142036438},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3692522346973419},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34613215923309326},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15148240327835083}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8532691597938538},{"id":"https://openalex.org/C50275913","wikidata":"https://www.wikidata.org/wiki/Q2115578","display_name":"Hasse principle","level":3,"score":0.8277581334114075},{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.7823953628540039},{"id":"https://openalex.org/C2778795570","wikidata":"https://www.wikidata.org/wiki/Q5508772","display_name":"Function field","level":3,"score":0.6358097791671753},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5723495483398438},{"id":"https://openalex.org/C75190567","wikidata":"https://www.wikidata.org/wiki/Q41237","display_name":"Rational function","level":2,"score":0.5289595127105713},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4895228147506714},{"id":"https://openalex.org/C12657307","wikidata":"https://www.wikidata.org/wiki/Q616608","display_name":"Algebraic number field","level":2,"score":0.46202147006988525},{"id":"https://openalex.org/C46875033","wikidata":"https://www.wikidata.org/wiki/Q1244890","display_name":"Rational number","level":2,"score":0.458700567483902},{"id":"https://openalex.org/C169214877","wikidata":"https://www.wikidata.org/wiki/Q981016","display_name":"Dirichlet distribution","level":3,"score":0.43603917956352234},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.3924139142036438},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3692522346973419},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34613215923309326},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15148240327835083},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00200-003-0143-3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-003-0143-3","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"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":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.44999998807907104}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1557415002","https://openalex.org/W1967132546","https://openalex.org/W1973816571","https://openalex.org/W2015585803","https://openalex.org/W2065274398","https://openalex.org/W2112958175","https://openalex.org/W2118120045","https://openalex.org/W2907693862","https://openalex.org/W3151140615"],"related_works":["https://openalex.org/W2001115092","https://openalex.org/W3133689615","https://openalex.org/W2085020044","https://openalex.org/W3033938593","https://openalex.org/W1963828060","https://openalex.org/W2003365160","https://openalex.org/W2950000232","https://openalex.org/W2953196366","https://openalex.org/W4365517385","https://openalex.org/W4240901076"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}