Автор: W.M. Schmidt Название: Diophantine Approximation ISBN: 3540097627 ISBN-13(EAN): 9783540097624 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Michel Waldschmidt Название: Diophantine Approximation on Linear Algebraic Groups ISBN: 364208608X ISBN-13(EAN): 9783642086083 Издательство: Springer Рейтинг: Цена: 16764.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: J?zsef Beck Название: Probabilistic Diophantine Approximation ISBN: 3319354655 ISBN-13(EAN): 9783319354651 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.
Автор: Serge Lang Название: Introduction to Diophantine Approximations ISBN: 1461287006 ISBN-13(EAN): 9781461287001 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: J?zsef Beck Название: Probabilistic Diophantine Approximation ISBN: 3319107402 ISBN-13(EAN): 9783319107400 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book gives a comprehensive treatment of random phenomena and distribution results in diophantine approximation, with a particular emphasis on quadratic irrationals.
Автор: Evertse Название: Discriminant Equations in Diophantine Number Theory ISBN: 1107097614 ISBN-13(EAN): 9781107097612 Издательство: Cambridge Academ Рейтинг: Цена: 23285.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Wolfgang M. Schmidt Название: Diophantine Approximations and Diophantine Equations ISBN: 354054058X ISBN-13(EAN): 9783540540588 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This work studies diophantine approximations to algebraic numbers and their applications to diophantine equations. Thue equations, norm form equations and S-unit equations, with emphasis on recent explicit bounds on the number of solutions, are included.
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: Smart Nigel P. Название: The Algorithmic Resolution of Diophantine Equations ISBN: 0521646332 ISBN-13(EAN): 9780521646338 Издательство: Cambridge Academ Рейтинг: Цена: 9187.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A coherent account of the computational methods used to solve diophantine equations. Topics include local methods, sieving, descent arguments, the LLL algorithm, Baker`s theory of linear forms in logarithms, and problems associated with curves. Useful exercises and bibliography are included. Suitable for graduate students and research workers.
Автор: Evertse Название: Unit Equations in Diophantine Number Theory ISBN: 1107097606 ISBN-13(EAN): 9781107097605 Издательство: Cambridge Academ Рейтинг: Цена: 10611.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Vladimir G. Sprindzuk Название: Classical Diophantine Equations ISBN: 3540573593 ISBN-13(EAN): 9783540573593 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph provides a detailed discussion of the theory of lower bounds for linear forms in the logarithms of algebraic numbers and its applications to the obtaining of upper bounds for solutions to the eponymous classical diophantine equation.
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