On Some Applications of Diophantine Approximations, Umberto Zannier

Автор: Paul Alan Vojta
Название: Diophantine Approximations and Value Distribution Theory
ISBN: 3540175512 ISBN-13(EAN): 9783540175513
Издательство: Springer
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Цена: 3487.00 р.
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Автор: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
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Цена: 6986.00 р.
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Описание: This book reveiws the last two decades of computational techniques and progress in the classical theory of quadratic diophantine equations. Presents important quadratic diophantine equations and applications, and includes excellent examples and open problems.

Автор: J?rn Steuding
Название: Diophantine Analysis
ISBN: 3319488163 ISBN-13(EAN): 9783319488165
Издательство: Springer
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Цена: 9781.00 р.
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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: Evertse
Название: Discriminant Equations in Diophantine Number Theory
ISBN: 1107097614 ISBN-13(EAN): 9781107097612
Издательство: Cambridge Academ
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Цена: 23285.00 р.
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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: Jones
Название: O-Minimality and Diophantine Geometry
ISBN: 1107462495 ISBN-13(EAN): 9781107462496
Издательство: Cambridge Academ
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Цена: 9186.00 р.
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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: Serge Lang
Название: Introduction to Diophantine Approximations
ISBN: 1461287006 ISBN-13(EAN): 9781461287001
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The aim of this book is to illustrate by significant special examples three aspects of the theory of Diophantine approximations: the formal relationships that exist between counting processes and the functions entering the theory;

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: 15372.00 р.
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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: 10296.00 р.
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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: Evertse
Название: Unit Equations in Diophantine Number Theory
ISBN: 1107097606 ISBN-13(EAN): 9781107097605
Издательство: Cambridge Academ
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Цена: 10611.00 р.
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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.