Number Theory – Diophantine Problems, Uniform Distribution and Applications, Christian Elsholtz; Peter Grabner

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: Junjiro Noguchi; J?rg Winkelmann
Название: Nevanlinna Theory in Several Complex Variables and Diophantine Approximation
ISBN: 4431562133 ISBN-13(EAN): 9784431562139
Издательство: Springer
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Цена: 88500.00 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: 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: Umberto Zannier
Название: On Some Applications of Diophantine Approximations
ISBN: 8876425195 ISBN-13(EAN): 9788876425196
Издательство: Springer
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Цена: 24230.00 T
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Описание: The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel`s celebrated theorem on integral points on algebraic curves. Many modern versions of Siegel`s proof have appeared, but none seem to faithfully reproduce all features of the original one.

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.

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: 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: Gisbert W?stholz
Название: Diophantine Approximation and Transcendence Theory
ISBN: 3540185976 ISBN-13(EAN): 9783540185970
Издательство: Springer
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Цена: 41920.00 T
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Автор: Serge Lang
Название: Introduction to Diophantine Approximations
ISBN: 1461287006 ISBN-13(EAN): 9781461287001
Издательство: Springer
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Цена: 93160.00 T
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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: Yuan Wang
Название: Diophantine Equations and Inequalities in Algebraic Number Fields
ISBN: 3642634893 ISBN-13(EAN): 9783642634895
Издательство: Springer
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Цена: 46570.00 T
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Описание: The circle method has its genesis in a paper of Hardy and Ramanujan (see Hardy 1])in 1918concernedwiththepartitionfunction andtheproblemofrep- resenting numbers as sums ofsquares. Later, in a series of papers beginning in 1920entitled "some problems of'partitio numerorum''', Hardy and Littlewood (see Hardy 1]) created and developed systematically a new analytic method, the circle method in additive number theory. The most famous problems in ad- ditive number theory, namely Waring's problem and Goldbach's problem, are treated in their papers. The circle method is also called the Hardy-Littlewood method. Waring's problem may be described as follows: For every integer k 2 2, there is a number s= s( k) such that every positive integer N is representable as (1) where Xi arenon-negative integers. This assertion wasfirst proved by Hilbert 1] in 1909. Using their powerful circle method, Hardy and Littlewood obtained a deeper result on Waring's problem. They established an asymptotic formula for rs(N), the number of representations of N in the form (1), namely k 1 provided that 8 2 (k - 2)2 - +5. Here

Автор: J?zsef Beck
Название: Probabilistic Diophantine Approximation
ISBN: 3319354655 ISBN-13(EAN): 9783319354651
Издательство: Springer
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Цена: 88500.00 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: Andreescu Titu
Название: Quadratic Diophantine Equations
ISBN: 1493938800 ISBN-13(EAN): 9781493938803
Издательство: Springer
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Цена: 46570.00 T
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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.