Chudnovsky, G. (Gregory), 1952-
Contributions to the theory of transcendental numbers / by Gregory V. Chudnovsky.
— Providence, R.I. : American Mathematical Society, c1984. xi, 450 p. ; 26 cm. — (Mathematical surveys and monographs ; no. 19)
"Most of the materials included in this volume are English translations of Russian manuscripts of the author... "—P. vii.
Incluye referencias bibliográficas e índice.
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.
ISBN 0821815008
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