2009, English, Article edition: Report on some recent advances in Diophantine approximation Waldschmidt, Michel

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Bookmark: http://trove.nla.gov.au/version/205706
Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Report on some recent advances in Diophantine approximation
Author
  • Waldschmidt, Michel
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • A basic question of Diophantine approximation, which is the first issue we discuss, is to investigate the rational approximations to a single real number. Next, we consider the algebraic or polynomial approximations to a single complex number, as well as the simultaneous approximation of powers of a real number by rational numbers with the same denominator. Finally we study generalisations of these questions to higher dimensions. Several recent advances have been made by B.~Adamczewski, Y.~Bugeaud, S.~Fischler, M.~Laurent, T.~Rivoal, D.~Roy and W.M.~Schmidt, among others. We review some of these works.
  • HAL:hal-00407199, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00407199/​en/​
Language
  • English
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