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- catalog contributor b11699720.
- catalog created "c2000.".
- catalog date "2000".
- catalog date "c2000.".
- catalog dateCopyrighted "c2000.".
- catalog description "1. Introduction and Historical Survey -- Pt. I. Transcendence -- 2. Transcendence Proofs in One Variable -- 3. Heights of Algebraic Numbers -- 4. The Criterion of Schneider-Lang -- Pt. II. Linear Independence of Logarithms and Measures -- 5. Zero Estimate / Damien Roy -- 6. Linear Independence of Logarithms of Algebraic Numbers -- 7. Homogeneous Measures of Linear Independence -- Pt. III. Multiplicities in Higher Dimension -- 8. Multiplicity Estimates / Damien Roy -- 9. Refined Measures -- 10. On Baker's Method -- Pt. IV. The Linear Subgroup Theorem -- 11. Points Whose Coordinates are Logarithms of Algebraic Numbers -- 12. Lower Bounds for the Rank of Matrices -- Pt. 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.".
- catalog description "Includes bibliographical references (p. [615]-627) and index.".
- catalog extent "xxiii, 633 p. ;".
- catalog identifier "3540667857 (alk. paper)".
- catalog isPartOf "Grundlehren der mathematischen Wissenschaften, 0072-7830 ; 326".
- catalog issued "2000".
- catalog issued "c2000.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog subject "512/.73 21".
- catalog subject "Diophantine approximation.".
- catalog subject "Linear algebraic groups.".
- catalog subject "QA242 .W35 2000".
- catalog tableOfContents "1. Introduction and Historical Survey -- Pt. I. Transcendence -- 2. Transcendence Proofs in One Variable -- 3. Heights of Algebraic Numbers -- 4. The Criterion of Schneider-Lang -- Pt. II. Linear Independence of Logarithms and Measures -- 5. Zero Estimate / Damien Roy -- 6. Linear Independence of Logarithms of Algebraic Numbers -- 7. Homogeneous Measures of Linear Independence -- Pt. III. Multiplicities in Higher Dimension -- 8. Multiplicity Estimates / Damien Roy -- 9. Refined Measures -- 10. On Baker's Method -- Pt. IV. The Linear Subgroup Theorem -- 11. Points Whose Coordinates are Logarithms of Algebraic Numbers -- 12. Lower Bounds for the Rank of Matrices -- Pt. 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.".
- catalog title "Diophantine approximation on linear algebraic groups : transcendence properties of the exponential function in several variables / Michel Waldschmidt.".
- catalog type "text".