Contributions to the theory of transcendental numbers / by Gregory V. Chudnovsky.

Format:

Book

Author/Creator:

Chudnovsky, G. (Gregory), 1952- author.

Series:

Mathematical surveys and monographs ; number 19.

Mathematical surveys and monographs ; number 19

Language:

English

Subjects (All):

Transcendental numbers.

Physical Description:

1 online resource (464 p.)

Other Title:

Theory of transcendental numbers

Theory of transcendental numbers.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [1984]

Language Note:

English

Summary:

Contains a collection of papers devoted primarily to transcendental number theory and diophantine approximations. This title includes a text of the author's invited address on his work on the theory of transcendental numbers to the 1978 International Congress of Mathematicians in Helsinki.

Contents:

""Table of Contents""; ""Preface""; ""Introduction: Algebraic Independence of Values of Exponential and Elliptic Functions""; ""Chapter 1 Some Analytic Methods in the Theory of Transcendental Numbers""; ""Chapter 2 Baker's Method in the Theory of Transcendental Numbers""; ""Chapter 3 On the Way to Schanuel's Conjecture""; ""Chapter 4 Criteria of Algebraic Independence of Several Numbers""; ""Chapter 5 Methods of the Theory of Transcendental Numbers, Diophantine Approximations and Solutions of Diophantine Equations""; ""Chapter 6 Some Diophantine Problems""

""Chapter 7 Transcendences Arising from Exponential and Elliptic Functions""""Chapter 8 Measure of the Algebraic Independence of Periods and Quasi-Periods of Elliptic Curves""; ""Chapter 9 Another Method for Investigating the Arithmetic Nature of Values of Functions of a Complex Variable""; ""Appendix: The Proof of Extremality of Certain Manifolds""; ""Index""; ""A""; ""B""; ""C""; ""E""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""P""; ""R""; ""S""; ""T""; ""V""; ""W""

Notes:

"Most of the materials included in this volume are English translations of Russian manuscripts of the author ... "--P. vii.

Includes bibliographical references and index.

Description based on print version record.

ISBN:

1-4704-1246-2