Additive Number Theory Of Polynomials Over A Finite Field

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Additive Number Theory Of Polynomials Over A Finite Field

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Author : Gove W. Effinger
language : en
Publisher:
Release Date : 1991

Additive Number Theory Of Polynomials Over A Finite Field written by Gove W. Effinger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Mathematics categories.

This volume develops all the tools needed to provide modern, `adelic' proofs of the polynomial analogs to two of the most famous theorems of classical additive number theory: Vinogradov's 3-Primes Theorem and the Waring Problem.

Additive Number Theory

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Author : David Chudnovsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-26

Additive Number Theory written by David Chudnovsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-26 with Mathematics categories.

This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research.

Additive Number Theory Inverse Problems And The Geometry Of Sumsets

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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-08-22

Additive Number Theory Inverse Problems And The Geometry Of Sumsets written by Melvyn B. Nathanson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-08-22 with Mathematics categories.

Many classical problems in additive number theory are direct problems, in which one starts with a set A of natural numbers and an integer H -> 2, and tries to describe the structure of the sumset hA consisting of all sums of h elements of A. By contrast, in an inverse problem, one starts with a sumset hA, and attempts to describe the structure of the underlying set A. In recent years there has been ramrkable progress in the study of inverse problems for finite sets of integers. In particular, there are important and beautiful inverse theorems due to Freiman, Kneser, Plünnecke, Vosper, and others. This volume includes their results, and culminates with an elegant proof by Ruzsa of the deep theorem of Freiman that a finite set of integers with a small sumset must be a large subset of an n-dimensional arithmetic progression.

Number Theory Arising From Finite Fields

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Author : John Knopfmacher
language : en
Publisher: CRC Press
Release Date : 2001-04-10

Number Theory Arising From Finite Fields written by John Knopfmacher and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-10 with Mathematics categories.

"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

Combinatorial And Additive Number Theory

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Author : Melvyn B. Nathanson
language : en
Publisher: Springer
Release Date : 2014-10-18

Combinatorial And Additive Number Theory written by Melvyn B. Nathanson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-18 with Mathematics categories.

This proceedings volume is based on papers presented at the Workshops on Combinatorial and Additive Number Theory (CANT), which were held at the Graduate Center of the City University of New York in 2011 and 2012. The goal of the workshops is to survey recent progress in combinatorial number theory and related parts of mathematics. The workshop attracts researchers and students who discuss the state-of-the-art, open problems and future challenges in number theory.

Finite Fields Theory Applications And Algorithms

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Author : Gary L. Mullen
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Finite Fields Theory Applications And Algorithms written by Gary L. Mullen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Because of their applications in so many diverse areas, finite fields continue to play increasingly important roles in various branches of modern mathematics, including number theory, algebra, and algebraic geometry, as well as in computer science, information theory, statistics, and engineering. Computational and algorithmic aspects of finite field problems also continue to grow in importance. This volume contains the refereed proceedings of a conference entitled Finite Fields: Theory, Applications and Algorithms, held in August 1993 at the University of Nevada at Las Vegas. Among the topics treated are theoretical aspects of finite fields, coding theory, cryptology, combinatorial design theory, and algorithms related to finite fields. Also included is a list of open problems and conjectures. This volume is an excellent reference for applied and research mathematicians as well as specialists and graduate students in information theory, computer science, and electrical engineering.

Finite Fields With Applications To Coding Theory Cryptography And Related Areas

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Author : Gary L. Mullen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Finite Fields With Applications To Coding Theory Cryptography And Related Areas written by Gary L. Mullen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

The Sixth International Conference on Finite Fields and Applications, Fq6, held in the city of Oaxaca, Mexico, from May 21-25, 2001, continued a series of biennial international conferences on finite fields. This volume documents the steadily increasing interest in this topic. Finite fields are an important tool in discrete mathematics and its applications cover algebraic geometry, coding theory, cryptology, design theory, finite geometries, and scientific computation, among others. An important feature is the interplay between theory and applications which has led to many new perspectives in research on finite fields and other areas. This interplay has been emphasized in this series of conferences and certainly was reflected in Fq6. This volume offers up-to-date original research papers by leading experts in the area.

Handbook Of Finite Fields

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Author : Gary L. Mullen
language : en
Publisher: CRC Press
Release Date : 2013-06-17

Handbook Of Finite Fields written by Gary L. Mullen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-17 with Computers categories.

Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. More than 80 international contributors compile state-of-the-art research in this definitive handbook. Edited by two renowned researchers, the book uses a uniform style and format throughout and

Finite Fields And Applications

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Author : Gary L. Mullen
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Finite Fields And Applications written by Gary L. Mullen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Computers categories.

This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9-13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields.Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorialdesign theory.

Certain Number Theoretic Episodes In Algebra Second Edition

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Author : R Sivaramakrishnan
language : en
Publisher: CRC Press
Release Date : 2019-03-19

Certain Number Theoretic Episodes In Algebra Second Edition written by R Sivaramakrishnan and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-19 with Mathematics categories.

The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.