Additive Number Theory of Polynomials Over a Finite Field
Author: Gove W. Effinger
Publisher:
Published: 1991
Total Pages: 184
ISBN-13:
DOWNLOAD EBOOKThis book helps gather the sum of additive number theory.
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Additive Number Theory
Author: David Chudnovsky
Publisher: Springer Science & Business Media
Published: 2010-08-26
Total Pages: 361
ISBN-13: 0387683615
DOWNLOAD EBOOKThis 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.
Combinatorial and Additive Number Theory
Author: Melvyn B. Nathanson
Publisher: Springer
Published: 2014-10-18
Total Pages: 309
ISBN-13: 1493916017
DOWNLOAD EBOOKThis 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.
Additive Number Theory: Inverse Problems and the Geometry of Sumsets
Author: Melvyn B. Nathanson
Publisher: Springer Science & Business Media
Published: 1996-08-22
Total Pages: 320
ISBN-13: 9780387946559
DOWNLOAD EBOOKMany 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
Author: John Knopfmacher
Publisher: CRC Press
Published: 2001-04-10
Total Pages: 416
ISBN-13: 0203908155
DOWNLOAD EBOOK"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
Handbook of Finite Fields
Author: Gary L. Mullen
Publisher: CRC Press
Published: 2013-06-17
Total Pages: 1048
ISBN-13: 1439873828
DOWNLOAD EBOOKPoised 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: Theory, Applications, and Algorithms
Author: Gary L. Mullen
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 434
ISBN-13: 0821851837
DOWNLOAD EBOOKBecause 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.
Combinatorial and Additive Number Theory II
Author: Melvyn B. Nathanson
Publisher: Springer
Published: 2018-01-13
Total Pages: 309
ISBN-13: 3319680323
DOWNLOAD EBOOKBased on talks from the 2015 and 2016 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 19 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003, the workshop series surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, primality testing, and cryptography are among the topics featured in this volume. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. Researchers and graduate students interested in the current progress in number theory will find this selection of articles relevant and compelling.
The Arithmetic of Function Fields
Author: David Goss
Publisher: Walter de Gruyter
Published: 2011-06-24
Total Pages: 493
ISBN-13: 3110886154
DOWNLOAD EBOOKThisseries is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Finite Fields with Applications to Coding Theory, Cryptography and Related Areas
Author: Gary L. Mullen
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 345
ISBN-13: 3642594352
DOWNLOAD EBOOKThe 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.
