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Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation

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Diophantine Approximations

case; the analogue for complex numbers; and fundamental properties of the multiples of an irrational number, for both the fractional and;

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London Mathematical Society Lecture Note Series

workers in transcendence theory, Diophantine approximation and exponential sums.;

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London Mathematical Society Lecture Note Series

theory. Topics include Diophantine approximation, exponential sums, Ramsey theory, ergodic theory and homogeneous dynamics. The origins of this;

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Metric Diophantine Approximation on Manifolds

This 1999 book is concerned with Diophantine approximation on smooth manifolds embedded in Euclidean space, and its aim is to develop a;

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Diophantine Approximation and Abelian Varieties

The 13 chapters of this book centre around the proof of Theorem 1 of Faltings' paper Diophantine approximation on abelian;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Diophantine Approximation and Dirichlet Series

characterization by Gordon and Hedenmalm. The book is devoted to Diophantine approximation, the analytic theory of Dirichlet series and their composition;

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Applications of Diophantine Approximation to Integral Points and Transcendence

This introduction to the theory of Diophantine approximation pays special regard to Schmidt's subspace theorem and to its applications to;

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Diophantine Approximation and Dirichlet Series

of Dirichlet series, and some connections between these two domains, which often occur through the Kronecker approximation theorem. Accordingly, the;

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Nonlinearity Ordinary and Fractional Approximations by Sublinear and Max Produc

This book focuses on approximations under the presence of ordinary and fractional smoothness, presenting both the univariate and;

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Sums and Products

The main areas covered are: telescoping sums and products in algebra and trigonometry the use of complex numbers and de Moivre's;

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Fractional Differential Equations

Starting with an introduction to fractional derivatives and numerical approximations, this book presents finite difference methods for;

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Discriminant Equations In Diophantine Nu

approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings;

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Frontiers In Approximation Theory

differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by;

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Generalized Fractional Calculus

also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya;

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Generalized Fractional Calculus

also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya;

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Constructive Fractional Analysis with Applications

This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators;

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Fractional-Order Control Systems

and Integrals Solutions of linear fractional-order differential equations Approximation of fractional-order operators Modelling and;

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Fractional-order Systems and PID Controllers

-based approximation techniques for fractional-order parameters. Furthermore, in all the cases, it includes the Scilab-based commands and;

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Intelligent Analysis

important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar's well-known f-divergence, and present;

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Intelligent Analysis

important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar's well-known f-divergence, and present;

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Modeling and Analysis of Modern Fluid Problems

Approximation, embedded-parameter perturbation, and 3D models and analysis;

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Distribution Theory of Algebraic Numbers

The book timely surveys new research results and related developments in Diophantine approximation, a division of number theory which deals;

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Distribution Modulo One And Diophantine Approximation

This book presents state-of-the-art research on the distribution modulo one of sequences of integral powers of real numbers and related;

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Auxiliary Polynomials in Number Theory

applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its;

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Lecture Notes on Diophantine Analysis

general problems. Starting with linear and quadratic equations, the important connections with Diophantine Approximation are presented and Thue's;

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