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Contributions to the Theory of Transcendental Numbers
About this Title
Gregory V. Chudnovsky
Publication: Mathematical Surveys and Monographs
Publication Year:
1984; Volume 19
ISBNs: 978-0-8218-1500-7 (print); 978-1-4704-1246-3 (online)
DOI: https://doi.org/10.1090/surv/019
MathSciNet review: MR772027
MSC: Primary 11-06
Table of Contents
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Front/Back Matter
Chapters
- Introduction: Algebraic independence of values of exponential and elliptic functions
- 1. Some analytic methods in the theory of transcendental numbers
- 2. Baker’s method in the theory of transcendental numbers
- 3. On the way to Schanuel’s conjecture
- 4. Criteria of algebraic independence of several numbers
- 5. Methods of the theory of transcendental numbers, Diophantine approximations and solutions of Diophantine equations
- 6. Some Diophantine problems
- 7. Transcendences arising from exponential and elliptic functions
- 8. Measure of the algebraic independence of periods and quasi-periods of elliptic curves
- 9. Another method for investigating the arithmetic nature of values of functions of a complex variable
- Appendix: The Proof of extremality of certain manifolds