Approximation by Algebraic Numbers

ISBN: 9780521045674 出版年：2004 页码：292 Yann Bugeaud Cambridge University Press

Preface Frequently used notation 1. Approximation by rational numbers 2. Approximation to algebraic numbers 3. The classifications of Mahler and Koksma 4. Mahler's conjecture on S-numbers 5. Hausdorff dimension of exceptional sets 6. Deeper results on the measure of exceptional sets 7. On T-numbers and U-numbers 8. Other classifications of real and complex numbers 9. Approximation in other fields 10. Conjectures and open questions Appendix A. Lemmas on polynomials Appendix B. Geometry of numbers References Index.