Trends in Number Theory

Trends in Number Theory PDF Author: Fernando Chamizo
Publisher: American Mathematical Soc.
ISBN: 0821898582
Category : Mathematics
Languages : en
Pages : 258

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Book Description
This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).

Trends in Number Theory

Trends in Number Theory PDF Author: Fernando Chamizo
Publisher: American Mathematical Soc.
ISBN: 0821898582
Category : Mathematics
Languages : en
Pages : 258

Get Book Here

Book Description
This volume contains the proceedings of the Fifth Spanish Meeting on Number Theory, held from July 8-12, 2013, at the Universidad de Sevilla, Sevilla, Spain. The articles contained in this book give a panoramic vision of the current research in number theory, both in Spain and abroad. Some of the topics covered in this volume are classical algebraic number theory, arithmetic geometry, and analytic number theory. This book is published in cooperation with Real Sociedad Matemática Española (RSME).

Sequences, Groups, and Number Theory

Sequences, Groups, and Number Theory PDF Author: Valérie Berthé
Publisher: Birkhäuser
ISBN: 331969152X
Category : Mathematics
Languages : en
Pages : 591

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Book Description
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.

Current Trends in Number Theory

Current Trends in Number Theory PDF Author: S.D. Adhikari
Publisher: Springer
ISBN: 9386279096
Category : Mathematics
Languages : en
Pages : 280

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Book Description
Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.

Introduction to Modern Number Theory

Introduction to Modern Number Theory PDF Author: Yu. I. Manin
Publisher: Springer Science & Business Media
ISBN: 3540276920
Category : Mathematics
Languages : en
Pages : 519

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Book Description
This edition has been called ‘startlingly up-to-date’, and in this corrected second printing you can be sure that it’s even more contemporaneous. It surveys from a unified point of view both the modern state and the trends of continuing development in various branches of number theory. Illuminated by elementary problems, the central ideas of modern theories are laid bare. Some topics covered include non-Abelian generalizations of class field theory, recursive computability and Diophantine equations, zeta- and L-functions. This substantially revised and expanded new edition contains several new sections, such as Wiles' proof of Fermat's Last Theorem, and relevant techniques coming from a synthesis of various theories.

Advances in Ring Theory

Advances in Ring Theory PDF Author: S.K. Jain
Publisher: Springer Science & Business Media
ISBN: 1461219787
Category : Mathematics
Languages : en
Pages : 330

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Book Description


Ring and Module Theory

Ring and Module Theory PDF Author: Toma Albu
Publisher: Springer Science & Business Media
ISBN: 3034600070
Category : Mathematics
Languages : en
Pages : 204

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Book Description
This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.

Combinatorics, Automata and Number Theory

Combinatorics, Automata and Number Theory PDF Author: Valérie Berthé
Publisher: Cambridge University Press
ISBN: 0521515971
Category : Mathematics
Languages : en
Pages : 637

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Book Description
This series is devoted to significant topics or themes that have wide application in mathematics or mathematical science and for which a detailed development of the abstract theory is less important than a thorough and concrete exploration of the implications and applications. Books in the Encyclopedia of Mathematics and its Applications cover their subjects comprehensively. Less important results may be summarised as exercises at the ends of chapters, For technicalities, readers can be referred to the bibliography, which is expected to be comprehensive. As a result, volumes are encyclopedic references or manageable guides to major subjects.

Number Theory and Dynamical Systems

Number Theory and Dynamical Systems PDF Author: M. M. Dodson
Publisher: Cambridge University Press
ISBN: 0521369193
Category : Mathematics
Languages : en
Pages : 185

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Book Description
This volume contains selected contributions from a very successful meeting on Number Theory and Dynamical Systems held at the University of York in 1987. There are close and surprising connections between number theory and dynamical systems. One emerged last century from the study of the stability of the solar system where problems of small divisors associated with the near resonance of planetary frequencies arose. Previously the question of the stability of the solar system was answered in more general terms by the celebrated KAM theorem, in which the relationship between near resonance (and so Diophantine approximation) and stability is of central importance. Other examples of the connections involve the work of Szemeredi and Furstenberg, and Sprindzuk. As well as containing results on the relationship between number theory and dynamical systems, the book also includes some more speculative and exploratory work which should stimulate interest in different approaches to old problems.

Number Theory with Computer Applications

Number Theory with Computer Applications PDF Author: Ramanujachary Kumanduri
Publisher: Pearson
ISBN:
Category : Mathematics
Languages : en
Pages : 566

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Book Description
Appropriate for most courses in Number Theory. This book effectively integrates computing algorithms into the number theory curriculum using a heuristic approach and strong emphasis on proofs. Its in-depth coverage of modern applications considers the latest trends and topics, such as elliptic curves--a subject that has seen a rise in popularity due to its use in the proof of Fermat's Last Theorem.

Diophantine Analysis

Diophantine Analysis PDF Author: Jorn Steuding
Publisher: CRC Press
ISBN: 1420057200
Category : Mathematics
Languages : en
Pages : 271

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Book Description
While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain. Diophantine Analysis examines the theory of diophantine ap