The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics.
The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject.
Editorial Board
Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil
Markus J. Pflaum, University of Colorado, Boulder, USA
Dierk Schleicher, Aix-Marseille Université, France
Katrin Wendland, Trinity College Dublin, Dublin, Ireland
Autorentext
Pei-Chu Hu, Shandong University, Jinan, China; Chung-Chun Yang, Hong Kong University of Science and Technology, China.
Klappentext
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.