Distribution theory of algebraic numbers
Distribution theory of algebraic numbers By Hu, Pei-Chu
2008 | 539 Pages | ISBN: 311020536X | PDF | 3 MB
2008 | 539 Pages | ISBN: 311020536X | PDF | 3 MB
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.