Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs
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Published By American Mathematical Society

9780821815007, 9781470412463

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Appendix: The Proof of extremality of certain manifolds

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/11 ◽

1984 ◽

pp. 421-447

Author(s):

A. Vinogradov ◽

G. Chudnovsky

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Transcendences arising from exponential and elliptic functions

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/08 ◽

1984 ◽

pp. 297-354

Author(s):

Gregory Chudnovsky

Keyword(s):

Elliptic Functions

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Criteria of algebraic independence of several numbers

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/05 ◽

1984 ◽

pp. 177-215

Author(s):

Gregory Chudnovsky

Keyword(s):

Algebraic Independence

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On the way to Schanuel’s conjecture

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/04 ◽

1984 ◽

pp. 145-176

Author(s):

Gregory Chudnovsky

Keyword(s):

Schanuel's Conjecture ◽

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Some analytic methods in the theory of transcendental numbers

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/02 ◽

1984 ◽

pp. 27-122 ◽

Author(s):

Gregory Chudnovsky

Keyword(s):

Transcendental Numbers ◽

Analytic Methods

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Some Diophantine problems

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/07 ◽

1984 ◽

pp. 265-295 ◽

Author(s):

Gregory Chudnovsky

Keyword(s):

Diophantine Problems

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Another method for investigating the arithmetic nature of values of functions of a complex variable

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/10 ◽

1984 ◽

pp. 383-420

Author(s):

Gregory Chudnovsky

Keyword(s):

Complex Variable

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Methods of the theory of transcendental numbers, Diophantine approximations and solutions of Diophantine equations

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/06 ◽

1984 ◽

pp. 217-263

Author(s):

Gregory Chudnovsky

Keyword(s):

Diophantine Equations ◽

Transcendental Numbers ◽

Diophantine Approximations

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Measure of the algebraic independence of periods and quasi-periods of elliptic curves

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/09 ◽

1984 ◽

pp. 355-382

Author(s):

Gregory Chudnovsky

Keyword(s):

Elliptic Curves ◽

Algebraic Independence

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Baker’s method in the theory of transcendental numbers

Contributions to the Theory of Transcendental Numbers - Mathematical Surveys and Monographs ◽

10.1090/surv/019/03 ◽

1984 ◽

pp. 123-143

Author(s):

Gregory Chudnovsky

Keyword(s):

Baker’S Method ◽

Transcendental Numbers

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