Distribution Theory of Algebraic Numbers (Hardcover)

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