Trends In Number Theory

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Sequences, Groups, and Number Theory

Author : Valérie Berthé
Publisher : Birkhäuser
ISBN 13 : 331969152X
Total Pages : 591 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Sequences, Groups, and Number Theory by : Valérie Berthé

Download or read book Sequences, Groups, and Number Theory written by Valérie Berthé and published by Birkhäuser. This book was released on 2018-04-09 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Chamizo
Publisher : American Mathematical Soc.
ISBN 13 : 0821898582
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Trends in Number Theory by : Fernando Chamizo

Download or read book Trends in Number Theory written by Fernando Chamizo and published by American Mathematical Soc.. This book was released on 2015-09-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Current Trends in Number Theory

Author : S.D. Adhikari
Publisher : Springer
ISBN 13 : 9386279096
Total Pages : 280 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Current Trends in Number Theory by : S.D. Adhikari

Download or read book Current Trends in Number Theory written by S.D. Adhikari and published by Springer. This book was released on 2002-01-01 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the International Conference on Number Theory, held at Allahabad in November 2000.

Introduction to Modern Number Theory

Author : Yu. I. Manin
Publisher : Springer Science & Business Media
ISBN 13 : 3540276920
Total Pages : 519 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Introduction to Modern Number Theory by : Yu. I. Manin

Download or read book Introduction to Modern Number Theory written by Yu. I. Manin and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Grosswald
Publisher : Springer Science & Business Media
ISBN 13 : 0817648380
Total Pages : 336 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Topics from the Theory of Numbers by : Emil Grosswald

Download or read book Topics from the Theory of Numbers written by Emil Grosswald and published by Springer Science & Business Media. This book was released on 2010-02-23 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 0387308296
Total Pages : 247 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Number Theory by : Wenpeng Zhang

Download or read book Number Theory written by Wenpeng Zhang and published by Springer Science & Business Media. This book was released on 2006-06-05 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Trends in Number Theory

Author : Fernando Chamizo
Publisher :
ISBN 13 : 9781470427290
Total Pages : 244 pages
Book Rating : 4.4/5 (272 download)

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Book Synopsis Trends in Number Theory by : Fernando Chamizo

Download or read book Trends in Number Theory written by Fernando Chamizo and published by . This book was released on 2015 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advances in the Theory of Numbers

Author : Ayşe Alaca
Publisher : Springer
ISBN 13 : 1493932012
Total Pages : 253 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Advances in the Theory of Numbers by : Ayşe Alaca

Download or read book Advances in the Theory of Numbers written by Ayşe Alaca and published by Springer. This book was released on 2015-10-28 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

New Frontiers in Number Theory and Applications

Author : Jordi Guàrdia
Publisher : Springer Nature
ISBN 13 : 3031519590
Total Pages : 457 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis New Frontiers in Number Theory and Applications by : Jordi Guàrdia

Download or read book New Frontiers in Number Theory and Applications written by Jordi Guàrdia and published by Springer Nature. This book was released on with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys in Number Theory

Author : Krishnaswami Alladi
Publisher : Springer Science & Business Media
ISBN 13 : 0387785108
Total Pages : 193 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Surveys in Number Theory by : Krishnaswami Alladi

Download or read book Surveys in Number Theory written by Krishnaswami Alladi and published by Springer Science & Business Media. This book was released on 2009-03-02 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Number theory has a wealth of long-standing problems, the study of which over the years has led to major developments in many areas of mathematics. This volume consists of seven significant chapters on number theory and related topics. Written by distinguished mathematicians, key topics focus on multipartitions, congruences and identities (G. Andrews), the formulas of Koshliakov and Guinand in Ramanujan's Lost Notebook (B. C. Berndt, Y. Lee, and J. Sohn), alternating sign matrices and the Weyl character formulas (D. M. Bressoud), theta functions in complex analysis (H. M. Farkas), representation functions in additive number theory (M. B. Nathanson), and mock theta functions, ranks, and Maass forms (K. Ono), and elliptic functions (M. Waldschmidt).

Positivity

Author : Karim Boulabiar
Publisher : Springer Science & Business Media
ISBN 13 : 3764384786
Total Pages : 282 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Positivity by : Karim Boulabiar

Download or read book Positivity written by Karim Boulabiar and published by Springer Science & Business Media. This book was released on 2007-12-16 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents nine survey articles addressing topics surrounding positivity, with an emphasis on functional analysis. The book assembles a wide spectrum of research into positivity, providing up-to-date information on topics of current interest. The discussion provides insight into classical areas like spaces of continuous functions, f-algebras, and integral operators. The coverage extends is broad, including vector measures, operator spaces, ordered tensor products, and non-commutative Banach function spaces.

Ring and Module Theory

Author : Toma Albu
Publisher : Springer Science & Business Media
ISBN 13 : 3034600070
Total Pages : 204 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Ring and Module Theory by : Toma Albu

Download or read book Ring and Module Theory written by Toma Albu and published by Springer Science & Business Media. This book was released on 2011-02-04 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Number Theory and Analysis

Author : Anatoliĭ Alekseevich Karat︠s︡uba
Publisher : American Mathematical Soc.
ISBN 13 : 9780821804674
Total Pages : 366 pages
Book Rating : 4.8/5 (46 download)

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Book Synopsis Number Theory and Analysis by : Anatoliĭ Alekseevich Karat︠s︡uba

Download or read book Number Theory and Analysis written by Anatoliĭ Alekseevich Karat︠s︡uba and published by American Mathematical Soc.. This book was released on 1995 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Number Theory and Discrete Mathematics

Author : A.K. Agarwal
Publisher : Birkhäuser
ISBN 13 : 3034882238
Total Pages : 314 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Number Theory and Discrete Mathematics by : A.K. Agarwal

Download or read book Number Theory and Discrete Mathematics written by A.K. Agarwal and published by Birkhäuser. This book was released on 2012-12-06 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: To mark the World Mathematical Year 2000 an International Conference on Number Theory and Discrete Mathematics in honour of the legendary Indian Mathematician Srinivasa Ramanuj~ was held at the centre for Advanced study in Mathematics, Panjab University, Chandigarh, India during October 2-6, 2000. This volume contains the proceedings of that conference. In all there were 82 participants including 14 overseas participants from Austria, France, Hungary, Italy, Japan, Korea, Singapore and the USA. The conference was inaugurated by Prof. K. N. Pathak, Hon. Vice-Chancellor, Panjab University, Chandigarh on October 2, 2000. Prof. Bruce C. Berndt of the University of Illinois, Urbana Chaimpaign, USA delivered the key note address entitled "The Life, Notebooks and Mathematical Contributions of Srinivasa Ramanujan". He described Ramanujan--as one of this century's most influential Mathematicians. Quoting Mark K. ac, Prof. George E. Andrews of the Pennsylvania State University, USA, in his message for the conference, described Ramanujan as a "magical genius". During the 5-day deliberations invited speakers gave talks on various topics in number theory and discrete mathematics. We mention here a few of them just as a sampling: • M. Waldschmidt, in his article, provides a very nice introduction to the topic of multiple poly logarithms and their special values. • C.

Number Theory

Author : Wenpeng Zhang
Publisher : Springer
ISBN 13 : 9780387510972
Total Pages : 0 pages
Book Rating : 4.5/5 (19 download)

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Book Synopsis Number Theory by : Wenpeng Zhang

Download or read book Number Theory written by Wenpeng Zhang and published by Springer. This book was released on 2008-11-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Number Theory

Author : Anthony Vazzana
Publisher : CRC Press
ISBN 13 : 1584889373
Total Pages : 537 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Introduction to Number Theory by : Anthony Vazzana

Download or read book Introduction to Number Theory written by Anthony Vazzana and published by CRC Press. This book was released on 2007-10-30 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the oldest branches of mathematics, number theory is a vast field devoted to studying the properties of whole numbers. Offering a flexible format for a one- or two-semester course, Introduction to Number Theory uses worked examples, numerous exercises, and two popular software packages to describe a diverse array of number theory topics. This classroom-tested, student-friendly text covers a wide range of subjects, from the ancient Euclidean algorithm for finding the greatest common divisor of two integers to recent developments that include cryptography, the theory of elliptic curves, and the negative solution of Hilbert’s tenth problem. The authors illustrate the connections between number theory and other areas of mathematics, including algebra, analysis, and combinatorics. They also describe applications of number theory to real-world problems, such as congruences in the ISBN system, modular arithmetic and Euler’s theorem in RSA encryption, and quadratic residues in the construction of tournaments. The book interweaves the theoretical development of the material with Mathematica® and MapleTM calculations while giving brief tutorials on the software in the appendices. Highlighting both fundamental and advanced topics, this introduction provides all of the tools to achieve a solid foundation in number theory.

Computational Number Theory and Modern Cryptography

Author : Song Y. Yan
Publisher : John Wiley & Sons
ISBN 13 : 1118188586
Total Pages : 432 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Computational Number Theory and Modern Cryptography by : Song Y. Yan

Download or read book Computational Number Theory and Modern Cryptography written by Song Y. Yan and published by John Wiley & Sons. This book was released on 2013-01-29 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security. In this book, Song Y. Yang combines knowledge of these two critical fields, providing a unified view of the relationships between computational number theory and cryptography. The author takes an innovative approach, presenting mathematical ideas first, thereupon treating cryptography as an immediate application of the mathematical concepts. The book also presents topics from number theory, which are relevant for applications in public-key cryptography, as well as modern topics, such as coding and lattice based cryptography for post-quantum cryptography. The author further covers the current research and applications for common cryptographic algorithms, describing the mathematical problems behind these applications in a manner accessible to computer scientists and engineers. Makes mathematical problems accessible to computer scientists and engineers by showing their immediate application Presents topics from number theory relevant for public-key cryptography applications Covers modern topics such as coding and lattice based cryptography for post-quantum cryptography Starts with the basics, then goes into applications and areas of active research Geared at a global audience; classroom tested in North America, Europe, and Asia Incudes exercises in every chapter Instructor resources available on the book’s Companion Website Computational Number Theory and Modern Cryptography is ideal for graduate and advanced undergraduate students in computer science, communications engineering, cryptography and mathematics. Computer scientists, practicing cryptographers, and other professionals involved in various security schemes will also find this book to be a helpful reference.