Contributions to the theory of transcendental numbers
by Gregory V. Chudnovsky.
Providence, R.I. : American Mathematical Society, ©1984.
xi, 450 págs. ; 26 cm.
Serie: Mathematical surveys and monographs ; no. 19
ISBN: 0821815008
"Most of the materials included in this volume are English translations of Russian manuscripts of the author... "—P. vii.
Incluye referencias bibliográficas e índice.
Reseña: MathSciNet, 87a:11004
Contenido
- Algebraic independence of values of exponential and elliptic functions
- Some analytic methods in the theory of transcendental numbers
- Baker's method in the theory of transcendental numbers
- On the way to Schanuel's conjecture
- Criteria of algebraic independence of several numbers
- Methods of the theory of transcendental numbers, Diophantine approximations and solutions of Diophantine equations
- Some Diophantine problems
- Transcendences arising from exponential and elliptic functions
- Measure of the algebraic independence of periods and quasi-periods of elliptic curves
- Another method for investigating the arithmetic nature of values of functions of a complex variable
- (together with A. I. Vinogradov), The proof of extremality of certain manifolds.
