Contributions to the theory of transcendental numbers / by Gregory V. Chudnovsky.
Idioma: Inglés Lenguaje original: Ruso Series Mathematical surveys and monographs ; no. 19Editor: Providence, R.I. : American Mathematical Society, c1984Descripción: xi, 450 p. ; 26 cmISBN: 0821815008Otro título: Theory of transcendental numbersTema(s): Transcendental numbersOtra clasificación: 11-06Algebraic independence of values of exponential and elliptic functionsSome analytic methods in the theory of transcendental numbersBaker's method in the theory of transcendental numbersOn the way to Schanuel's conjectureCriteria of algebraic independence of several numbersMethods of the theory of transcendental numbers, Diophantine approximations and solutions of Diophantine equationsSome Diophantine problemsTranscendences arising from exponential and elliptic functionsMeasure of the algebraic independence of periods and quasi-periods of elliptic curvesAnother 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.
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"Most of the materials included in this volume are English translations of Russian manuscripts of the author... "--P. vii.
Incluye referencias bibliográficas e índice.
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.
MR, 87a:11004
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