Distribution theory of algebraic numbers

Description:

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.

subjects: Körpererweiterung,  Algebraische Zahl,  Diophantine approximation,  Diophantische Approximation,  Nevanlinna theory,  Zahlentheorie,  Approximation theory