Number theory

With plenty of new material not found in other books, Direct Sum Decompositions of Torsion-Free Finite Rank Groups explores advanced topics in direct sum decompositions of abelian groups and their consequences.

This volume mainly deals with the dynamics of finitely valued sequences, and more specifically, of sequences generated by substitutions and automata.

This volume contains the proceedings from the first Women in MathArt Research Collaboration Conference for Women, showcasing women mathematicians researching and curating creative pedagogies at the intersection of mathematics and the arts.

p-adic numbers are of great theoretical importance in numbertheory, since they allow the use of the language of analysisto study problems relating toprime numbers and diophantineequations.

The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan.

This monograph provides an accessible and comprehensive introduction to James Arthur's invariant trace formula, a crucial tool in the theory of automorphic representations.

This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.

47 brauchen nur den Nennern so groß zu wählen, daß das Intervall [0, 1/n] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche mfn innerhalb des Intervalls liegen.

Combinatorics meets number theory in this stimulating stroll through the zetas.

Building on the tradition of an outstanding series of conferences at the University of Illinois at Urbana-Champaign, the organizers attracted an international group of scholars to open the new Millennium with a conference that reviewed the current state of number theory research and pointed to future directions in the field.

This volume contains a valuable collection of research articles by active and well-known mathematicians in differential geometry and mathematical physics, contributed to mark Professor Kouei Sekigawa's 60th birthday.

Theta functions were studied extensively by Ramanujan.

A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth presents a collection of chapters contributed by eminent experts devoted to the Riemann Zeta Function, its generalizations, and their various applications to several scientific disciplines, including Analytic Number Theory, Harmonic Analysis, Complex Analysis, Probability Theory, and related subjects.

Advances in Domain Adaptation Theory gives current, state-of-the-art results on transfer learning, with a particular focus placed on domain adaptation from a theoretical point-of-view.

The need to investigate functional differential equations with discontinuous delays is addressed in this book.

The Mellin transformation is widely used in various problems of pure and applied mathematics, in particular, in the theory of differential and integral equations and the theory of Dirichlet series.

The book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Seminar 2003 in Berlin.

Markov Processes and Potential Theory

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability.

In 1842 the Belgian mathematician Eugene Charles Catalan asked whether 8 and 9 are the only consecutive pure powers of non-zero integers.

This invaluable book contains selected papers of Prof Chuan-Chih Hsiung, renowned mathematician in differential geometry and founder and editor-in-chief of a unique international journal in this field, the Journal of Differential Geometry.

Originally published in 1994, The Incommensurability Thesis is a critical study of the Incommensurability Thesis of Thomas Kuhn and Paul Feyerabend.

A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.

Combinatorics and Number Theory of Counting Sequences is an introduction to the theory of finite set partitions and to the enumeration of cycle decompositions of permutations.

This is a foundation for arithmetic topology - a new branch of mathematics which is focused upon the analogy between knot theory and number theory.

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This contributed volume presents recent advances as well as new directions in number theory and its applications.

Algebra and number theory have always been counted among the most beautiful and fundamental mathematical areas with deep proofs and elegant results.

Dieses Buch richtet sich an Leser, die zum ersten Mal ins geheimnisvolle Reich der natürlichen Zahlen wandern wollen.

This is the third volume of a comprehensive and elementary treatment of finite p-group theory.

Though elementary in nature, this book deals with fundamental issues in mathematics - number, algebra, geometry (both Euclidean and non-Euclidean) and topology.

The present book gives an exposition of the classical basic algebraic and analytic number theory and supersedes my Algebraic Numbers, including much more material, e.

Diophantine Equations

The 15 papers of this selection of contributions to the Journees Arithmetiques 1987 include both survey articles and original research papers and represent a cross-section of topics such as Abelian varieties, algebraic integers, arithmetic algebraic geometry, additive number theory, computational number theory, exponential sums, modular forms, transcendence and Diophantine approximation, uniform distribution.

In this book, control and filtering problems for several classes of stochastic networked systems are discussed.

This is the second volume of a 2-volume textbook* which evolved from a course (Mathematics 160) offered at the California Institute of Technology du ring the last 25 years.

Smooth Dynamical Systems

This book contains 33 papers from among the 41 papers presented at the Eighth International Conference on Fibonacci Numbers and Their Applications which was held at the Rochester Institute of Technology, Rochester, New York, from June 22 to June 26, 1998.

Aspects of Integration: Novel Approaches to the Riemann and Lebesgue Integrals is comprised of two parts.

This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "e;Automorphic Forms and L-Functions"e;, held at the University of Heidelberg in 2016.

In this book, many ideas by Felix Hausdorff are described and contemporary mathematical theories stemming from them are sketched.

Il libro tratta di metodi di crittografia e sistemi, con particolare enfasi alla teoria dei numeri.

Theta functions were studied extensively by Ramanujan.

The world is continuous, but the mind is discrete.

Fundamental Concepts of Algebra

This book covers the application of algebraic inequalities for reliability improvement and for uncertainty and risk reduction.