Distribution theory of algebraic numbers

Hu, Pei-Chu9783110205367, 311020536X, 9783110208269

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.