Distribution Theory of Algebraic Numbers

ebook De Gruyter Expositions in Mathematics

By Pei-Chu Hu

cover image of Distribution Theory of Algebraic Numbers

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The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals with the approximation of real numbers by rational numbers. The book is appended with a list of challenging open problems and a comprehensive list of references.

From the contents: Field extensions

  • Algebraic numbers
  • Algebraic geometry
  • Height functions
  • The abc-conjecture
  • Roth's theorem
  • Subspace theorems
  • Vojta's conjectures
  • L-functions.

  • Distribution Theory of Algebraic Numbers