Distribution Theory of Algebraic Numbers / Edition 1

by Pei-Chu Hu, Chung-Chun Yang

Overview

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.

Product Details

ISBN-13:	9783110205367
Publisher:	De Gruyter
Publication date:	11/17/2008
Series:	De Gruyter Expositions in Mathematics , #45
Pages:	538
Product dimensions:	6.69(w) x 9.45(h) x (d)
Age Range:	18 Years

About the Author

Pei-Chu Hu, Shandong University, Jinan, China; Chung-Chun Yang, Hong Kong University of Science and Technology, China.

Editorial Reviews

"A remarkable feature of this book is that it starts at a basic level, introducing the fundamental concepts from scratch, without proofs for the classical ones but with relevant references to more basic books for complete proofs. The authors reach gradually the most advanced recent results on qualitative and quantitative relations of algebraic numbers distributed in spaces." Zentralblatt für Mathematik

From the Publisher