Nevanlinna Theory in Several Complex Variables and Diophantine Approximation, Junjiro Noguchi; J?rg Winkelmann

Автор: W.M. Schmidt
Название: Diophantine Approximation
ISBN: 3540097627 ISBN-13(EAN): 9783540097624
Издательство: Springer
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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: 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: J?zsef Beck
Название: Probabilistic Diophantine Approximation
ISBN: 3319354655 ISBN-13(EAN): 9783319354651
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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: 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: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3034899602 ISBN-13(EAN): 9783034899604
Издательство: Springer
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Описание: 4 Hardy-Toeplitz Operators Over Tubular Domains 267 4.

Автор: Harald Upmeier
Название: Toeplitz Operators and Index Theory in Several Complex Variables
ISBN: 3764352825 ISBN-13(EAN): 9783764352820
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Описание: This volume provides a detailed description of important geometric settings encountered in multi-variable complex analysis. There is a thorough exposition of the harmonic analysis background, and treatment of topics of current interest.

Автор: J.M. Danskin; S.M. Nikol`skii
Название: Approximation of Functions of Several Variables and Imbedding Theorems
ISBN: 3642657133 ISBN-13(EAN): 9783642657139
Издательство: Springer
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Цена: 83850.00 T
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Описание: This English translation of my book "PribliZenie Funkcir Mnogih Peremennyh i Teoremy Vlozel1iya" is identical in content with the Rus- sian original, published by "Nauka" in 1969. However, I have corrected a number of errors. I am grateful to the publishing house Springer-Verlag for making my book available to mathematicians who do not know Russian. I am also especially grateful to the translator, Professor John M. Dan- skin, who has fulfilled his task with painstaking care. In doing so he has showed high qualifications both as a mathematician and as a translator of Russian, which is considered by many to be a very difficult language. The discussion in this book is restricted, for the most part, to func- tions everywhere defined in n-dimensional space. The study of these questions for functions given on bounded regions requires new methods. In. connection with this I note that a new book, "Integral Represen- tations of Functions and Imbedding Theorems," by O. V. Besov, V. P. Il'in, and myself, has just (May 1975) been published, by the publishing house "Nauka," in Moscow. Moscow, U.S.S.R., May 1975 S. M. Nikol'skir Translator's Note I am very grateful to Professor Nikol'skir, whose knowledge of English, which is considered by many to be a very difficult language, is excellent, for much help in achieving a correct translation of his book. And I join Professor Nikol'skir in thanking Springer-Verlag. The editing problem was considerable, and the typographical problem formidable.

Автор: Evertse
Название: Unit Equations in Diophantine Number Theory
ISBN: 1107097606 ISBN-13(EAN): 9781107097605
Издательство: Cambridge Academ
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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: Serge Lang; William Cherry
Название: Topics in Nevanlinna Theory
ISBN: 3540527850 ISBN-13(EAN): 9783540527855
Издательство: Springer
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Описание: Presents notes of lectures on Nevanlinna theory, in the classical case of meromorphic functions, and the generalization by Carlson-Griffith to equidimensional holomorphic maps using as domain space finite coverings of C resp. Cn.

Автор: Steinmetz, Norbert
Название: Nevanlinna theory, normal families, and algebraic differential equations
ISBN: 331959799X ISBN-13(EAN): 9783319597997
Издательство: Springer
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Цена: 55890.00 T
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Описание: This book offers a modern introduction to Nevanlinna theory and its intricate relation to the theory of normal families, algebraic functions, asymptotic series, and algebraic differential equations.

Following a comprehensive treatment of Nevanlinna's theory of value distribution, the author presents advances made since Hayman's work on the value distribution of differential polynomials and illustrates how value- and pair-sharing problems are linked to algebraic curves and Briot-Bouquet differential equations. In addition to discussing classical applications of Nevanlinna theory, the book outlines state-of-the-art research, such as the effect of the Yosida and Zalcman-Pang method of re-scaling to algebraic differential equations, and presents the Painlev -Yosida theorem, which relates Painlev transcendents and solutions to selected 2D Hamiltonian systems to certain Yosida classes of meromorphic functions.

Aimed at graduate students interested in recent developments in the field and researchers working on related problems, Nevanlinna Theory, Normal Families, and Algebraic Differential Equations will also be of interest to complex analysts looking for an introduction to various topics in the subject area. With examples, exercises and proofs seamlessly intertwined with the body of the text, this book is particularly suitable for the more advanced reader.

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: William Cherry; Zhuan Ye
Название: Nevanlinna`s Theory of Value Distribution
ISBN: 3642085687 ISBN-13(EAN): 9783642085680
Издательство: Springer
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Цена: 79150.00 T
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Описание: On the one hand, this monograph serves as a self-contained introduction to Nevanlinna's theory of value distribution because the authors only assume the reader is familiar with the basics of complex analysis. On the other hand, the monograph also serves as a valuable reference for the research specialist because the authors present, for the first time in book form, the most modern and refined versions of the Second Main Theorem with precise error terms, in both the geometric and logarithmic derivative based approaches. A unique feature of the monograph is its "number-theoretic digressions." These special sections assume no background in number theory and explore the exciting interconnections between Nevanlinna theory and the theory of Diophantine approximation.