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Approximation of Algebraic Numbers

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1819)

Abstract

The following notes are an enriched exposition of the material which I presented during the C.I.M.E. summer school in Cetrato. My main goal is to illustrate the ideas behind the proofs of recent results generalizing the Sub-space Theorem in diophantine approximation. I have tried to keep a balance between avoiding certain technical details (which would have made the notes by far too long and which rather would have hidden the basic ideas) and giving a presentation which is accessible for nonspecialists without simply waving hands.

Keywords

  • Algebraic Number
  • Algebraic Closure
  • Index Theorem
  • Diophantine Approximation
  • Geometry Part

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 2003 Springer-Verlag Berlin Heidelberg

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Schlickewei, H.P. (2003). Approximation of Algebraic Numbers. In: Amoroso, F., Zannier, U. (eds) Diophantine Approximation. Lecture Notes in Mathematics, vol 1819. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44979-5_3

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  • DOI: https://doi.org/10.1007/3-540-44979-5_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40392-0

  • Online ISBN: 978-3-540-44979-9

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