- Table of
Contents
-
1. Introduction and Historical Survey
- Part I. Linear Independence of Logarithms of Algebraic
Numbers
- 2. Transcendence Proofs in One Variable
3. Heights of Algebraic Numbers
4. The Criterion of Schneider-Lang
Part II. Linear Independence of Logarithms and Measures
- 5. Zero Estimate, by Damien ROY
6. Linear Independence of Logarithms of Algebraic
Numbers
7. A First Measure of Linear Independence
-
III. Multiplicities in Higher Dimension
8. Multiplicity Estimates, by Damien
ROY
9. Interpolation Determinants with One Derivative
10. On Baker's Method
-
Part IV. The Linear Subgroup Theorem
11. Points Whose Coordinates are Logarithms of
Algebraic Numbers
12. Lower Bounds for the Rank of Matrices
-
Part V. Simultaneous Approximation of Values of the
- Exponential Function in Several
Variables
13. A Quantitative Version of the Linear Subgroup
Theorem
14. Applications to Diophantine
Approximation
15. Algebraic Independence
-
References
-
Michel Waldschmidt
- URL : http://www.math.jussieu.fr/~miw/articles/DALAG.html
- e-mail : miw@math.jussieu.fr
- Last update : April 14, 1999
-