Distribution Theory of Algebraic Numbers [E-Book].
Yang, Chung-Chun
Hu, Pei-Chu
Berlin : De Gruyter
1 online resource (XI, 527 S.)
englisch
9783110205367
9783110208269
De Gruyter Expositions in Mathematics ; 45
Full Text
Biographical note: Pei-Chu Hu, Shandong University, Jinan, China; Chung-Chun Yang, Hong Kong University of Science and Technology, China.
Main description: 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.