Distribution Theory of Algebraic Numbers

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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 â?¢ Algebraic numbers â?¢ Algebraic geometry â?¢ Height functions â?¢ The abc-conjecture â?¢ Roth's theorem â?¢ Subspace theorems â?¢ Vojta's conjectures â?¢ L-functions.