Approximation by algebraic numbers. (English) Zbl 1155.11003

Bugeaud, Yann

Cambridge Tracts in Mathematics 160. Cambridge: Cambridge University Press (ISBN 978-0-521-04567-4/pbk). xv, 274 p. (2007).

This is a paperback reissue of the original monograph (2004) reviewed in Zbl 1055.11002.

MSC:

11-02	Research exposition (monographs, survey articles) pertaining to number theory
11J04	Homogeneous approximation to one number
11J13	Simultaneous homogeneous approximation, linear forms
11J17	Approximation by numbers from a fixed field
11J25	Diophantine inequalities
11J68	Approximation to algebraic numbers
11J83	Metric theory
11K60	Diophantine approximation in probabilistic number theory

Keywords:

Diophantine approximation; approximation of real numbers by algebraic numbers; approximation of real numbers by rational numbers; Thue-Siegel-Roth-Schmidt theorem; metric theory; Lebesgue measure; Hausdorff dimension; Mahler’s classification of transcendental numbers; Koksma’s classification; Mahler’s conjecture on \(S\)-numbers

Citations:

Zbl 1055.11002