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Transcendence Theory, Advances and Applications

Author: A. Baker

Publisher:

Published: 1977

Total Pages: 256

ISBN-13:

This volume is an account of the proceedings of a conference on transcendence theory and its applications held in the University of Cambridge during January and February, 1976. The sixteen papers reflect the considerable current activity in this area, and establish a wide variety of original results. The papers have been arranged in groups with a common themes, such as the theory of linear forms in the logarithms of algebraic numbers and its applications, the transcendence theory of elliptic and Abelian functions, and linear and algebraic independence of meromorphic functions, and arithmetical properties of polynomials in several variables.

New Advances in Transcendence Theory

Author: Alan Baker

Publisher: Cambridge University Press

Published: 1988-10-13

Total Pages: 456

ISBN-13: 9780521335454

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This is an account of the proceedings of a very successful symposium of Transcendental Number Theory held in Durham in 1986. Most of the leading international specialists were present and the lectures reflected the great advances that have taken place in this area. The papers cover all the main branches of the subject, and include not only definitive research but valuable survey articles.

Transcendental Number Theory

Author: Alan Baker

Publisher: Cambridge University Press

Published: 2022-06-09

Total Pages: 185

ISBN-13: 100922994X

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Alan Baker's systematic account of transcendental number theory, with a new introduction and afterword explaining recent developments.

Mathematics and Theoretical Physics

Author: Minaketan Behara

Publisher: Walter de Gruyter

Published: 2011-06-15

Total Pages: 768

ISBN-13: 3110886723

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The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

Number Theory and Related Fields

Author: Jonathan M. Borwein

Publisher: Springer Science & Business Media

Published: 2013-05-16

Total Pages: 395

ISBN-13: 1461466423

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“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.

Diophantine Approximation and Transcendence Theory

Author: Gisbert Wüstholz

Publisher: Springer

Published: 2006-11-15

Total Pages: 252

ISBN-13: 3540480234

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Contributions to the Theory of Transcendental Numbers

Author: Gregory Chudnovsky

Publisher: American Mathematical Soc.

Published: 1984

Total Pages: 464

ISBN-13: 0821815008

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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.

My Numbers, My Friends

Author: Paulo Ribenboim

Publisher: Springer Science & Business Media

Published: 2006-05-10

Total Pages: 384

ISBN-13: 0387227547

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This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem.

Complex Analysis with Applications to Number Theory

Author: Tarlok Nath Shorey

Publisher: Springer Nature

Published: 2020-11-13

Total Pages: 287

ISBN-13: 9811590974

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The book discusses major topics in complex analysis with applications to number theory. This book is intended as a text for graduate students of mathematics and undergraduate students of engineering, as well as to researchers in complex analysis and number theory. This theory is a prerequisite for the study of many areas of mathematics, including the theory of several finitely and infinitely many complex variables, hyperbolic geometry, two and three manifolds and number theory. In additional to solved examples and problems, the book covers most of the topics of current interest, such as Cauchy theorems, Picard’s theorems, Riemann–Zeta function, Dirichlet theorem, gamma function and harmonic functions.

Number Theory IV

Author: A.N. Parshin

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 351

ISBN-13: 3662036444

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This book is a survey of the most important directions of research in transcendental number theory. For readers with no specific background in transcendental number theory, the book provides both an overview of the basic concepts and techniques and also a guide to the most important results and references.