Diophantine Approximation and Transcendence Theory, Gisbert W?stholz

Автор: W.M. Schmidt
Название: Diophantine Approximation
ISBN: 3540097627 ISBN-13(EAN): 9783540097624
Издательство: Springer
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Цена: 46540.00 T
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Описание: In 1970, at the University of Colorado, the author delivered a course of lectures on his famous generalization, relating to Roth`s theorem on rational approxi- mations to algebraic numbers. This volume is a version of the original mimeographed notes on the course.

Автор: Evertse
Название: Discriminant Equations in Diophantine Number Theory
ISBN: 1107097614 ISBN-13(EAN): 9781107097612
Издательство: Cambridge Academ
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Цена: 155230.00 T
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Описание: Discriminant equations are an important class of Diophantine equations. This book provides the first comprehensive account of discriminant equations and their applications, building on the authors` earlier volume, Unit Equations in Diophantine Number Theory. Background material makes the book accessible to experts and young researchers alike.

Автор: Christian Elsholtz; Peter Grabner
Название: Number Theory – Diophantine Problems, Uniform Distribution and Applications
ISBN: 3319553569 ISBN-13(EAN): 9783319553566
Издательство: Springer
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Цена: 102480.00 T
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Автор: Paul Alan Vojta
Название: Diophantine Approximations and Value Distribution Theory
ISBN: 3540175512 ISBN-13(EAN): 9783540175513
Издательство: Springer
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Цена: 23250.00 T
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Автор: J?rn Steuding
Название: Diophantine Analysis
ISBN: 3319488163 ISBN-13(EAN): 9783319488165
Издательство: Springer
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Цена: 65210.00 T
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Описание: This collection of course notes from a number theory summer school focus on aspects of Diophantine Analysis, addressed to Master and doctoral students as well as everyone who wants to learn the subject. The topics range from Baker’s method of bounding linear forms in logarithms (authored by Sanda Buja?i? and Alan Filipin), metric diophantine approximation discussing in particular the yet unsolved Littlewood conjecture (by Simon Kristensen), Minkowski’s geometry of numbers and modern variations by Bombieri and Schmidt (Tapani Matala-aho), and a historical account of related number theory(ists) at the turn of the 19th Century (Nicola M.R. Oswald). Each of these notes serves as an essentially self-contained introduction to the topic. The reader gets a thorough impression of Diophantine Analysis by its central results, relevant applications and open problems. The notes are complemented with many references and an extensive register which makes it easy to navigate through the book.

Автор: Jones
Название: O-Minimality and Diophantine Geometry
ISBN: 1107462495 ISBN-13(EAN): 9781107462496
Издательство: Cambridge Academ
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Цена: 61240.00 T
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Описание: This collection of articles brings the researcher up to date with recent applications of logic, specifically model theory, to conjectures associated with those of Manin-Mumford and Andre-Oort. Originating from a short course, it combines original papers with background articles on related topics.

Автор: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431545700 ISBN-13(EAN): 9784431545705
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book reviews higher dimensional Nevanlinna theory and its relationship with Diophantine approximation theory. Coverage builds up from the classical theory of meromorphic functions on the complex plane with full proofs, to the current state of research.

Автор: J?zsef Beck
Название: Probabilistic Diophantine Approximation
ISBN: 3319107402 ISBN-13(EAN): 9783319107400
Издательство: Springer
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Цена: 111790.00 T
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Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.

Автор: Duverney Daniel
Название: Number Theory: An Elementary Introduction Through Diophantine Problems
ISBN: 9814307459 ISBN-13(EAN): 9789814307451
Издательство: World Scientific Publishing
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Цена: 68640.00 T
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Описание: Presents an elementary introduction to number theory and its different aspects: approximation of real numbers, irrationality and transcendence problems, continued fractions, diophantine equations, quadratic forms, arithmetical functions and algebraic number theory.

Автор: Michel Waldschmidt
Название: Diophantine Approximation on Linear Algebraic Groups
ISBN: 364208608X ISBN-13(EAN): 9783642086083
Издательство: Springer
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Цена: 111760.00 T
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Автор: Kumiko Nishioka
Название: Mahler Functions and Transcendence
ISBN: 3540614729 ISBN-13(EAN): 9783540614722
Издательство: Springer
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Цена: 27910.00 T
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Описание: This work looks at the transcendence theory of Mahler functions and their values. Recently the theory has seen development and has found a diversity of applications. The book assumes a background in elementary field theory, p-adic field, and algebraic function field of one variable.

Автор: Evertse
Название: Unit Equations in Diophantine Number Theory
ISBN: 1107097606 ISBN-13(EAN): 9781107097605
Издательство: Cambridge Academ
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Цена: 70740.00 T
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Описание: Unit equations play a central role in Diophantine number theory. This book provides a comprehensive and up-to-date treatment of unit equations and their various applications. It brings together the most important results and gives an overview of the basic techniques, making it accessible to young researchers.