Author: S.D. AdhikariPublisher: Springer
ISBN: 9386279096
Category : Mathematics
Languages : en
Pages : 280
Book Description
Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.
Current Trends in Number Theory
Author: S.D. AdhikariPublisher: Springer
ISBN: 9386279096
Category : Mathematics
Languages : en
Pages : 280
Book Description
Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.
Sequences, Groups, and Number Theory
Author: Valérie BerthéPublisher: Birkhäuser
ISBN: 331969152X
Category : Mathematics
Languages : en
Pages : 591
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.
Trends in Number Theory
Author: Fernando ChamizoPublisher: American Mathematical Soc.
ISBN: 0821898582
Category : Mathematics
Languages : en
Pages : 258
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).
Introduction to Modern Number Theory
Author: Yu. I. ManinPublisher: Springer Science & Business Media
ISBN: 3540276920
Category : Mathematics
Languages : en
Pages : 519
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.
Topics from the Theory of Numbers
Author: Emil GrosswaldPublisher: Springer Science & Business Media
ISBN: 0817648380
Category : Mathematics
Languages : en
Pages : 336
Book Description
Many of the important and creative developments in modern mathematics resulted from attempts to solve questions that originate in number theory. The publication of Emil Grosswald’s classic text presents an illuminating introduction to number theory. Combining the historical developments with the analytical approach, Topics from the Theory of Numbers offers the reader a diverse range of subjects to investigate.
Number Theory
Author: Wenpeng ZhangPublisher: Springer Science & Business Media
ISBN: 0387308296
Category : Mathematics
Languages : en
Pages : 247
Book Description
This book collects survey and research papers on various topics in number theory. Although the topics and descriptive details appear varied, they are unified by two underlying principles: first, readability, and second, a smooth transition from traditional approaches to modern ones. Thus, on one hand, the traditional approach is presented in great detail, and on the other, the modernization of the methods in number theory is elaborated.
Advances in the Theory of Numbers
Author: Ayşe AlacaPublisher: Springer
ISBN: 1493932012
Category : Mathematics
Languages : en
Pages : 253
Book Description
The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat’s last theorem published in 1995 illustrates the high level of difficulty of problems encountered in number-theoretic research as well as the usefulness of the new ideas arising from its proof. The thirteenth conference of the Canadian Number Theory Association was held at Carleton University, Ottawa, Ontario, Canada from June 16 to 20, 2014. Ninety-nine talks were presented at the conference on the theme of advances in the theory of numbers. Topics of the talks reflected the diversity of current trends and activities in modern number theory. These topics included modular forms, hypergeometric functions, elliptic curves, distribution of prime numbers, diophantine equations, L-functions, Diophantine approximation, and many more. This volume contains some of the papers presented at the conference. All papers were refereed. The high quality of the articles and their contribution to current research directions make this volume a must for any mathematics library and is particularly relevant to researchers and graduate students with an interest in number theory. The editors hope that this volume will serve as both a resource and an inspiration to future generations of researchers in the theory of numbers.
Trends in Number Theory
Author: Fernando ChamizoPublisher:
ISBN: 9781470427290
Category : Number theory
Languages : en
Pages : 244
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.
New Frontiers in Number Theory and Applications
Author: Jordi GuàrdiaPublisher: Springer Nature
ISBN: 3031519590
Category :
Languages : en
Pages : 457
Book Description
Number Theory and Analysis
Author: Anatoliĭ Alekseevich Karat︠s︡ubaPublisher: American Mathematical Soc.
ISBN: 9780821804674
Category : Mathematics
Languages : en
Pages : 366
Book Description
"This collection consists of papers ... devoted to current trends in analytic number theory, function theory, algebraic number theory, algebraic geometry, and combinatorics" -- t.p. verso.