Hu Pei-Chu, Chung-Chun Yang. Distribution Theory of Algebraic Numbers

Walter de Gruyter, 2008. — XII, 528 p. — (De Gruyter Expositions in Mathematics, 45). — ISBN 978-3-11-020536-7.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.True PDF