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  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Diophantine Approximation
    sub title: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 28 - July 6, 2000
  name:
    name part: Masser, David.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Nesterenko, Yuri V.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Schlickewei, Hans Peter.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Schmidt, Wolfgang M.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Waldschmidt, Michel.
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: Amoroso, Francesco.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: Zannier, Umberto.
    role:
      role term: editor.
    role:
      role term: edt
    role:
      role term: http://id.loc.gov/vocabulary/relators/edt
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2003
    edition: 1st ed. 2003.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 356 p. 1 illus. in color. online resource.
  abstract: Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing"best"rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell's equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V.
  table of contents: Heights, Transcendence, and Linear Independence on Commutative Group Varieties -- Linear Forms in Logarithms of Rational Numbers -- Approximation of Algebraic Numbers -- Linear Recurrence Sequences -- Linear Independence Measures for Logarithms of Algebraic Numbers.
  note: by David Masser, Yuri V. Nesterenko, Hans Peter Schlickewei, Wolfgang M. Schmidt, Michel Waldschmidt ; edited by Francesco Amoroso, Umberto Zannier.
  subject:
    topic: Number theory
  subject:
    topic: Number Theory
  classification: QA241-247.5
  classification: 512.7
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: C.I.M.E. Foundation Subseries ; 1819
  identifier: 9783540449799
  identifier: https://doi.org/10.1007/3-540-44979-5
  record info:
    record creation date: 121227
    record change date: 20190617101304.0
    record identifier: 978-3-540-44979-9