Number Theory Arising From Finite Fields

Download Number Theory Arising From Finite Fields PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 9780824705770
Total Pages : 418 pages
Book Rating : 4.7/5 (57 download)

DOWNLOAD NOW!


Book Synopsis Number Theory Arising From Finite Fields by : John Knopfmacher

Download or read book Number Theory Arising From Finite Fields written by John Knopfmacher and published by CRC Press. This book was released on 2001-04-10 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Number Theory Arising from Finite Fields: Analytic and Probabilistic Theory" offers a discussion of the advances and developments in the field of number theory arising from finite fields. It emphasizes mean-value theorems of multiplicative functions, the theory of additive formulations, and the normal distribution of values from additive functions. The work explores calculations from classical stages to emerging discoveries in alternative abstract prime number theorems.

Number Theory Arising From Finite Fields

Download Number Theory Arising From Finite Fields PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 0203908155
Total Pages : 418 pages
Book Rating : 4.2/5 (39 download)

DOWNLOAD NOW!


Book Synopsis Number Theory Arising From Finite Fields by : John Knopfmacher

Download or read book Number Theory Arising From Finite Fields written by John Knopfmacher and published by CRC Press. This book was released on 2001-04-10 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Number Theory Arising from Finite Fields: Analytic and Probabilistic Theory" offers a discussion of the advances and developments in the field of number theory arising from finite fields. It emphasizes mean-value theorems of multiplicative functions, the theory of additive formulations, and the normal distribution of values from additive functions

Number Theory in Function Fields

Download Number Theory in Function Fields PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1475760469
Total Pages : 355 pages
Book Rating : 4.4/5 (757 download)

DOWNLOAD NOW!


Book Synopsis Number Theory in Function Fields by : Michael Rosen

Download or read book Number Theory in Function Fields written by Michael Rosen and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of various theorems. The later chapters probe the analogy between global function fields and algebraic number fields. Topics include the ABC-conjecture, Brumer-Stark conjecture, and Drinfeld modules.

Elements of Number Theory

Download Elements of Number Theory PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Elements of Number Theory by : Kenneth F. Ireland

Download or read book Elements of Number Theory written by Kenneth F. Ireland and published by . This book was released on 1972 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Additive Number Theory of Polynomials Over a Finite Field

Download Additive Number Theory of Polynomials Over a Finite Field PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)

DOWNLOAD NOW!


Book Synopsis Additive Number Theory of Polynomials Over a Finite Field by : Gove W. Effinger

Download or read book Additive Number Theory of Polynomials Over a Finite Field written by Gove W. Effinger and published by . This book was released on 1991 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book helps gather the sum of additive number theory.

Finite Fields and their Applications

Download Finite Fields and their Applications PDF Online Free

Author :
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110621738
Total Pages : 214 pages
Book Rating : 4.1/5 (16 download)

DOWNLOAD NOW!


Book Synopsis Finite Fields and their Applications by : James A. Davis

Download or read book Finite Fields and their Applications written by James A. Davis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-10-26 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume covers wide-ranging topics from Theory: structure of finite fields, normal bases, polynomials, function fields, APN functions. Computation: algorithms and complexity, polynomial factorization, decomposition and irreducibility testing, sequences and functions. Applications: algebraic coding theory, cryptography, algebraic geometry over finite fields, finite incidence geometry, designs, combinatorics, quantum information science.

Finite Fields

Download Finite Fields PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521392310
Total Pages : 784 pages
Book Rating : 4.3/5 (923 download)

DOWNLOAD NOW!


Book Synopsis Finite Fields by : Rudolf Lidl

Download or read book Finite Fields written by Rudolf Lidl and published by Cambridge University Press. This book was released on 1997 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted entirely to the theory of finite fields.

Emerging Applications of Number Theory

Download Emerging Applications of Number Theory PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461215447
Total Pages : 693 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!


Book Synopsis Emerging Applications of Number Theory by : Dennis A. Hejhal

Download or read book Emerging Applications of Number Theory written by Dennis A. Hejhal and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 693 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most people tend to view number theory as the very paradigm of pure mathematics. With the advent of computers, however, number theory has been finding an increasing number of applications in practical settings, such as in cryptography, random number generation, coding theory, and even concert hall acoustics. Yet other applications are still emerging - providing number theorists with some major new areas of opportunity. The 1996 IMA summer program on Emerging Applications of Number Theory was aimed at stimulating further work with some of these newest (and most attractive) applications. Concentration was on number theory's recent links with: (a) wave phenomena in quantum mechanics (more specifically, quantum chaos); and (b) graph theory (especially expander graphs and related spectral theory). This volume contains the contributed papers from that meeting and will be of interest to anyone intrigued by novel applications of modern number-theoretical techniques.

Finite Fields: Theory and Computation

Download Finite Fields: Theory and Computation PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 940159239X
Total Pages : 532 pages
Book Rating : 4.4/5 (15 download)

DOWNLOAD NOW!


Book Synopsis Finite Fields: Theory and Computation by : Igor Shparlinski

Download or read book Finite Fields: Theory and Computation written by Igor Shparlinski and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is mainly devoted to some computational and algorithmic problems in finite fields such as, for example, polynomial factorization, finding irreducible and primitive polynomials, the distribution of these primitive polynomials and of primitive points on elliptic curves, constructing bases of various types and new applications of finite fields to other areas of mathematics. For completeness we in clude two special chapters on some recent advances and applications of the theory of congruences (optimal coefficients, congruential pseudo-random number gener ators, modular arithmetic, etc.) and computational number theory (primality testing, factoring integers, computation in algebraic number theory, etc.). The problems considered here have many applications in Computer Science, Cod ing Theory, Cryptography, Numerical Methods, and so on. There are a few books devoted to more general questions, but the results contained in this book have not till now been collected under one cover. In the present work the author has attempted to point out new links among different areas of the theory of finite fields. It contains many very important results which previously could be found only in widely scattered and hardly available conference proceedings and journals. In particular, we extensively review results which originally appeared only in Russian, and are not well known to mathematicians outside the former USSR.

Rational Number Theory in the 20th Century

Download Rational Number Theory in the 20th Century PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0857295322
Total Pages : 659 pages
Book Rating : 4.8/5 (572 download)

DOWNLOAD NOW!


Book Synopsis Rational Number Theory in the 20th Century by : Władysław Narkiewicz

Download or read book Rational Number Theory in the 20th Century written by Władysław Narkiewicz and published by Springer Science & Business Media. This book was released on 2011-09-02 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last one hundred years have seen many important achievements in the classical part of number theory. After the proof of the Prime Number Theorem in 1896, a quick development of analytical tools led to the invention of various new methods, like Brun's sieve method and the circle method of Hardy, Littlewood and Ramanujan; developments in topics such as prime and additive number theory, and the solution of Fermat’s problem. Rational Number Theory in the 20th Century: From PNT to FLT offers a short survey of 20th century developments in classical number theory, documenting between the proof of the Prime Number Theorem and the proof of Fermat's Last Theorem. The focus lays upon the part of number theory that deals with properties of integers and rational numbers. Chapters are divided into five time periods, which are then further divided into subject areas. With the introduction of each new topic, developments are followed through to the present day. This book will appeal to graduate researchers and student in number theory, however the presentation of main results without technicalities will make this accessible to anyone with an interest in the area.

Number Theory

Download Number Theory PDF Online Free

Author :
Publisher : Academic Press
ISBN 13 : 0080873324
Total Pages : 449 pages
Book Rating : 4.0/5 (88 download)

DOWNLOAD NOW!


Book Synopsis Number Theory by :

Download or read book Number Theory written by and published by Academic Press. This book was released on 1986-05-05 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is written for the student in mathematics. Its goal is to give a view of the theory of numbers, of the problems with which this theory deals, and of the methods that are used. We have avoided that style which gives a systematic development of the apparatus and have used instead a freer style, in which the problems and the methods of solution are closely interwoven. We start from concrete problems in number theory. General theories arise as tools for solving these problems. As a rule, these theories are developed sufficiently far so that the reader can see for himself their strength and beauty, and so that he learns to apply them. Most of the questions that are examined in this book are connected with the theory of diophantine equations - that is, with the theory of the solutions in integers of equations in several variables. However, we also consider questions of other types; for example, we derive the theorem of Dirichlet on prime numbers in arithmetic progressions and investigate the growth of the number of solutions of congruences.

A Course in Finite Group Representation Theory

Download A Course in Finite Group Representation Theory PDF Online Free

Author :
Publisher : Cambridge University Press
ISBN 13 : 1107162394
Total Pages : 339 pages
Book Rating : 4.1/5 (71 download)

DOWNLOAD NOW!


Book Synopsis A Course in Finite Group Representation Theory by : Peter Webb

Download or read book A Course in Finite Group Representation Theory written by Peter Webb and published by Cambridge University Press. This book was released on 2016-08-19 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Number Theory

Download Number Theory PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821813552
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Number Theory by : Kazuya Kato

Download or read book Number Theory written by Kazuya Kato and published by American Mathematical Soc.. This book was released on 2000 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Number Theory – Diophantine Problems, Uniform Distribution and Applications

Download Number Theory – Diophantine Problems, Uniform Distribution and Applications PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319553577
Total Pages : 444 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!


Book Synopsis Number Theory – Diophantine Problems, Uniform Distribution and Applications by : Christian Elsholtz

Download or read book Number Theory – Diophantine Problems, Uniform Distribution and Applications written by Christian Elsholtz and published by Springer. This book was released on 2017-05-26 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to Robert F. Tichy on the occasion of his 60th birthday. Presenting 22 research and survey papers written by leading experts in their respective fields, it focuses on areas that align with Tichy’s research interests and which he significantly shaped, including Diophantine problems, asymptotic counting, uniform distribution and discrepancy of sequences (in theory and application), dynamical systems, prime numbers, and actuarial mathematics. Offering valuable insights into recent developments in these areas, the book will be of interest to researchers and graduate students engaged in number theory and its applications.

Advances in the Theory of Numbers

Download Advances in the Theory of Numbers PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 1493932012
Total Pages : 235 pages
Book Rating : 4.4/5 (939 download)

DOWNLOAD NOW!


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 235 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.

Frontiers in Number Theory, Physics, and Geometry II

Download Frontiers in Number Theory, Physics, and Geometry II PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540303081
Total Pages : 789 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!


Book Synopsis Frontiers in Number Theory, Physics, and Geometry II by : Pierre E. Cartier

Download or read book Frontiers in Number Theory, Physics, and Geometry II written by Pierre E. Cartier and published by Springer Science & Business Media. This book was released on 2007-07-18 with total page 789 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ten years after a 1989 meeting of number theorists and physicists at the Centre de Physique des Houches, a second event focused on the broader interface of number theory, geometry, and physics. This book is the first of two volumes resulting from that meeting. Broken into three parts, it covers Conformal Field Theories, Discrete Groups, and Renormalization, offering extended versions of the lecture courses and shorter texts on special topics.

Non-Unique Factorizations

Download Non-Unique Factorizations PDF Online Free

Author :
Publisher : CRC Press
ISBN 13 : 1420003208
Total Pages : 728 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!


Book Synopsis Non-Unique Factorizations by : Alfred Geroldinger

Download or read book Non-Unique Factorizations written by Alfred Geroldinger and published by CRC Press. This book was released on 2006-01-13 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factoriza