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Mahler's Problem in Metric Number Theory.

Author: V G Sprindžuk; B Volkmann
Publisher: Providence : American Mathematical Society, 1969.
Series: Translations of mathematical monographs.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book deals with the solutions of a group of questions related both to the general theory of transcendental numbers and to the metrical theory of diophantine (and also algebraic) approximations. The fundamental problem in this field has been known in the literature since 1932 as Mahler's conjecture. The main result of this book is a proof of Mahler's conjecture and some analogous theorems. In Part I, the  Read more...
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Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Sprindžuk, V.G.
Mahler's Problem in Metric Number Theory.
Providence : American Mathematical Society, ©1969
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: V G Sprindžuk; B Volkmann
ISBN: 9781470444426 1470444429
OCLC Number: 1032717720
Description: 1 online resource (202 pages)
Contents: Cover --
Title page --
Contents --
Introduction --
Auxiliary considerations --
The complex case --
The real case --
Basic facts --
Fields of -adic numbers --
Fields of formal power series --
Supplementary results and remarks --
Conclusion --
An application --
Bibliography --
Back Cover.
Series Title: Translations of mathematical monographs.

Abstract:

This book deals with the solutions of a group of questions related both to the general theory of transcendental numbers and to the metrical theory of diophantine (and also algebraic) approximations. The fundamental problem in this field has been known in the literature since 1932 as Mahler's conjecture. The main result of this book is a proof of Mahler's conjecture and some analogous theorems. In Part I, the ""Classical"" case of Mahler's conjecture, dealing with real and complex numbers, is considered. This part should be comprehensible to any who knows the elements of measure theory and poss.

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