rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Value Distribution Theory Related to Number Theory
  name:
    name part: Hu, Pei-Chu.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Yang, Chung-Chun.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: sz
    date issued: 2006
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 543 p. online resource.
  abstract: The subject of the book is Diophantine approximation and Nevanlinna theory. Not only does the text provide new results and directions, it also challenges open problems and collects latest research activities on these subjects made by the authors over the past eight years. Some of the significant findings are the proof of the Green-Griffiths conjecture by using meromorphic connections and Jacobian sections, and a generalized abc-conjecture. The book also presents the state of the art in the studies of the analogues between Diophantine approximation (in number theory) and value distribution theory (in complex analysis), with a method based on Vojta’s dictionary for the terms of these two fields. The approaches are relatively natural and more effective than existing methods. The book is self-contained and appended with a comprehensive and up-to-date list of references. It is of interest to a broad audience of graduate students and researchers specialized in pure mathematics.
  table of contents: Heights -- Nevanlinna Theory -- Topics in Number Theory -- Function Solutions of Diophantine Equations -- Functions over Non-Archimedean Fields -- Holomorphic Curves in Canonical Varieties -- Riemann’s ?-function.
  note: by Pei-Chu Hu, Chung-Chun Yang.
  subject:
    topic: Mathematics
  subject:
    topic: Functional analysis
  subject:
    topic: Functions of complex variables
  subject:
    topic: Number theory
  subject:
    topic: Mathematics
  subject:
    topic: Number Theory
  subject:
    topic: Functional Analysis
  subject:
    topic: Functions of a Complex Variable
  classification: QA241-247.5
  classification: 512.7
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783764375690
  identifier: http://dx.doi.org/10.1007/3-7643-7569-8
  record info:
    record creation date: 100301
    record change date: 20151204180915.0
    record identifier: 978-3-7643-7569-0