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Distribution Theory of Algebraic Numbers

By (author) Pei-Chu Hu, By (author) Chung-Chun Yang

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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.

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