Mildness and the density of rational points on certain transcendental curves

Jones, Gareth O.; Miller, D. J.; Thomas, Margaret E. M.

Mildness and the density of rational points on certain transcendental curves

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

2011

Autor:innen

Jones, Gareth O.

Miller, D. J.

Thomas, Margaret E. M.

Publikationstyp

Zeitschriftenartikel

unikn.publication.listelement.citation.prefix.version.undefined

Notre Dame Journal of Formal Logic. 2011, 52(1), pp. 67-74. ISSN 0029-4527. eISSN 1939-0726. Available under: doi: 10.1215/00294527-2010-037

Zusammenfassung

We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minimal structures admit definable parameterizations by mild maps. We then use this parameterization to prove a result on the density of rational points on curves defined by restricted Pfaffian functions.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

Pfaffian functions, parameterization, rational points

Zitieren

ISO 690

JONES, Gareth O., D. J. MILLER, Margaret E. M. THOMAS, 2011. Mildness and the density of rational points on certain transcendental curves. In: Notre Dame Journal of Formal Logic. 2011, 52(1), pp. 67-74. ISSN 0029-4527. eISSN 1939-0726. Available under: doi: 10.1215/00294527-2010-037

BibTex

@article{Jones2011Mildn-17160,
  year={2011},
  doi={10.1215/00294527-2010-037},
  title={Mildness and the density of rational points on certain transcendental curves},
  number={1},
  volume={52},
  issn={0029-4527},
  journal={Notre Dame Journal of Formal Logic},
  pages={67--74},
  author={Jones, Gareth O. and Miller, D. J. and Thomas, Margaret E. M.}
}

RDF

<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/17160">
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dc:contributor>Miller, D. J.</dc:contributor>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/17160"/>
    <dcterms:bibliographicCitation>Publ. in: Notre Dame Journal of Formal Logic ; 52 (2011), 1. - S. 67-74</dcterms:bibliographicCitation>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-11-29T14:38:49Z</dcterms:available>
    <dc:creator>Miller, D. J.</dc:creator>
    <dc:contributor>Thomas, Margaret E. M.</dc:contributor>
    <dc:contributor>Jones, Gareth O.</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
    <dc:creator>Jones, Gareth O.</dc:creator>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:abstract xml:lang="eng">We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minimal structures admit definable parameterizations by mild maps. We then use this parameterization to prove a result on the density of rational points on curves defined by restricted Pfaffian functions.</dcterms:abstract>
    <dcterms:title>Mildness and the density of rational points on certain transcendental curves</dcterms:title>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-11-29T14:38:49Z</dc:date>
    <dc:creator>Thomas, Margaret E. M.</dc:creator>
    <dc:rights>terms-of-use</dc:rights>
    <dc:language>eng</dc:language>
    <dcterms:issued>2011</dcterms:issued>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
  </rdf:Description>
</rdf:RDF>

Universitätsbibliographie

Ja