Distribution Theory of Algebraic Numbers

Download or read book Distribution Theory of Algebraic Numbers written by Pei-Chu Hu and published by . This book was released on 2008-12-10 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.