Combinatorial And Additive Number Theory V

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Combinatorial and Additive Number Theory V

Melvyn B. Nathanson
Combinatorial and Additive Number Theory V Book PDF

Author : Melvyn B. Nathanson
Publisher : Springer Nature
Page : 290 pages
File Size : 52,7 Mb
Release : 2023-01-01
Category : Mathematics
ISBN : 9783031107962

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Combinatorial and Additive Number Theory V by Melvyn B. Nathanson Pdf

This proceedings volume, the fifth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 19th annual workshop, held online due to the COVID-19 pandemic. Organized every year since 2003 by the New York Number Theory Seminar at the CUNY Graduate Center, the workshops survey state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. The CANT 2021 meeting featured over a hundred speakers from North and South America, Europe, Asia, Australia, and New Zealand, and was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain peer-reviewed and edited papers on current topics in number theory. Topics featured in this volume include sumsets, minimal bases, Sidon sets, analytic and prime number theory, combinatorial and discrete geometry, numerical semigroups, and a survey of expansion, divisibility, and parity. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Combinatorial and Additive Number Theory IV

Melvyn B. Nathanson
Combinatorial and Additive Number Theory IV Book PDF

Author : Melvyn B. Nathanson
Publisher : Springer Nature
Page : 445 pages
File Size : 43,8 Mb
Release : 2021-08-12
Category : Mathematics
ISBN : 9783030679965

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Combinatorial and Additive Number Theory IV by Melvyn B. Nathanson Pdf

This is the fourth in a series of proceedings of the Combinatorial and Additive Number Theory (CANT) conferences, based on talks from the 2019 and 2020 workshops at the City University of New York. The latter was held online due to the COVID-19 pandemic, and featured speakers from North and South America, Europe, and Asia. The 2020 Zoom conference was the largest CANT conference in terms of the number of both lectures and participants. These proceedings contain 25 peer-reviewed and edited papers on current topics in number theory. Held every year since 2003 at the CUNY Graduate Center, the workshop surveys state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. Topics featured in this volume include sumsets, zero-sum sequences, minimal complements, analytic and prime number theory, Hausdorff dimension, combinatorial and discrete geometry, and Ramsey theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Combinatorial and Additive Number Theory

Melvyn B. Nathanson
Combinatorial and Additive Number Theory Book PDF

Author : Melvyn B. Nathanson
Publisher : Springer
Page : 309 pages
File Size : 42,7 Mb
Release : 2014-10-18
Category : Mathematics
ISBN : 9781493916016

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Combinatorial and Additive Number Theory by Melvyn B. Nathanson Pdf

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.

Additive Number Theory

David Chudnovsky,Gregory Chudnovsky
Additive Number Theory Book PDF

Author : David Chudnovsky,Gregory Chudnovsky
Publisher : Springer Science & Business Media
Page : 361 pages
File Size : 52,9 Mb
Release : 2010-08-26
Category : Mathematics
ISBN : 9780387683614

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Additive Number Theory by David Chudnovsky,Gregory Chudnovsky Pdf

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.

Combinatorial and Additive Number Theory VI

Melvyn B. Nathanson
Combinatorial and Additive Number Theory VI Book PDF

Author : Melvyn B. Nathanson
Publisher : Springer
Page : 0 pages
File Size : 55,9 Mb
Release : 2024-09-22
Category : Mathematics
ISBN : 3031650638

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Combinatorial and Additive Number Theory VI by Melvyn B. Nathanson Pdf

This proceedings volume, the sixth in a series from the Combinatorial and Additive Number Theory (CANT) conferences, is based on talks from the 20th and 21st annual workshops, held in New York in 2022 (virtual) and 2023 (hybrid) respectively. Organized every year since 2003 by the New York Number Theory Seminar at the CUNY Graduate Center, the workshops survey state-of-the-art open problems in combinatorial and additive number theory and related parts of mathematics. In this volume, the reader will find peer-reviewed and edited papers on current topics in number theory. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Combinatorial and Additive Number Theory III

Melvyn B. Nathanson
Combinatorial and Additive Number Theory III Book PDF

Author : Melvyn B. Nathanson
Publisher : Springer Nature
Page : 237 pages
File Size : 48,8 Mb
Release : 2019-12-10
Category : Mathematics
ISBN : 9783030311063

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Combinatorial and Additive Number Theory III by Melvyn B. Nathanson Pdf

Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 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. Topics featured in this volume include sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Combinatorial and Additive Number Theory II

Melvyn B. Nathanson
Combinatorial and Additive Number Theory II Book PDF

Author : Melvyn B. Nathanson
Publisher : Springer
Page : 310 pages
File Size : 42,6 Mb
Release : 2018-01-13
Category : Mathematics
ISBN : 9783319680323

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Combinatorial and Additive Number Theory II by Melvyn B. Nathanson Pdf

Based 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.

Combinatorial Number Theory and Additive Group Theory

Alfred Geroldinger,Imre Ruzsa
Combinatorial Number Theory and Additive Group Theory Book PDF

Author : Alfred Geroldinger,Imre Ruzsa
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 50,9 Mb
Release : 2009-04-15
Category : Mathematics
ISBN : 9783764389611

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Combinatorial Number Theory and Additive Group Theory by Alfred Geroldinger,Imre Ruzsa Pdf

Additive combinatorics is a relatively recent term coined to comprehend the developments of the more classical additive number theory, mainly focussed on problems related to the addition of integers. Some classical problems like the Waring problem on the sum of k-th powers or the Goldbach conjecture are genuine examples of the original questions addressed in the area. One of the features of contemporary additive combinatorics is the interplay of a great variety of mathematical techniques, including combinatorics, harmonic analysis, convex geometry, graph theory, probability theory, algebraic geometry or ergodic theory. This book gathers the contributions of many of the leading researchers in the area and is divided into three parts. The two first parts correspond to the material of the main courses delivered, Additive combinatorics and non-unique factorizations, by Alfred Geroldinger, and Sumsets and structure, by Imre Z. Ruzsa. The third part collects the notes of most of the seminars which accompanied the main courses, and which cover a reasonably large part of the methods, techniques and problems of contemporary additive combinatorics.

Combinatorial and Additive Number Theory III

Anonim
Combinatorial and Additive Number Theory III Book PDF

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 54,7 Mb
Release : 2020
Category : Combinatorial number theory
ISBN : 3030311074

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Combinatorial and Additive Number Theory III by Anonim Pdf

Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 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. Topics featured in this volume include sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Additive Number Theory

David Chudnovsky,Gregory Chudnovsky
Additive Number Theory Book PDF

Author : David Chudnovsky,Gregory Chudnovsky
Publisher : Springer
Page : 361 pages
File Size : 43,6 Mb
Release : 2010-09-01
Category : Mathematics
ISBN : 0387370293

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Additive Number Theory by David Chudnovsky,Gregory Chudnovsky Pdf

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.

Combinatorial and Additive Number Theory III

Anonim
Combinatorial and Additive Number Theory III Book PDF

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 53,7 Mb
Release : 2020
Category : Combinatorial number theory
ISBN : 8303031104

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Combinatorial and Additive Number Theory III by Anonim Pdf

Based on talks from the 2017 and 2018 Combinatorial and Additive Number Theory (CANT) workshops at the City University of New York, these proceedings offer 17 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. Topics featured in this volume include sumsets, partitions, convex polytopes and discrete geometry, Ramsey theory, commutative algebra and discrete geometry, and applications of logic and nonstandard analysis to number theory. Each contribution is dedicated to a specific topic that reflects the latest results by experts in the field. This selection of articles will be of relevance to both researchers and graduate students interested in current progress in number theory.

Combinatorial Number Theory

Bruce Landman,Melvyn B. Nathanson,Jaroslav Nešetril,Richard J. Nowakowski,Carl Pomerance,Aaron Robertson
Combinatorial Number Theory Book PDF

Author : Bruce Landman,Melvyn B. Nathanson,Jaroslav Nešetril,Richard J. Nowakowski,Carl Pomerance,Aaron Robertson
Publisher : Walter de Gruyter
Page : 168 pages
File Size : 42,6 Mb
Release : 2013-08-29
Category : Mathematics
ISBN : 9783110280616

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Combinatorial Number Theory by Bruce Landman,Melvyn B. Nathanson,Jaroslav Nešetril,Richard J. Nowakowski,Carl Pomerance,Aaron Robertson Pdf

This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.

Number Theory

David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B. Nathanson
Number Theory Book PDF

Author : David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B. Nathanson
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461224181

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Number Theory by David V. Chudnovsky,Gregory V. Chudnovsky,Melvyn B. Nathanson Pdf

This volume is dedicated to Harvey Cohn, Distinguished Professor Emeritus of Mathematics at City College (CUNY). Harvey was one of the organizers of the New York Number Theory Seminar, and was deeply involved in all aspects of the Seminar from its first meeting in January, 1982, until his retirement in December, 1995. We wish him good health and continued hapiness and success in mathematics. The papers in this volume are revised and expanded versions of lectures delivered in the New York Number Theory Seminar. The Seminar meets weekly at the Graduate School and University Center of the City University of New York (CUNY). In addition, some of the papers in this book were presented at a conference on Combinatorial Number Theory that the New York Number Theory Seminar organized at Lehman College (CUNY). Here is a short description of the papers in this volume. The paper of R. T. Bumby focuses on "elementary" fast algorithms in sums of two and four squares. The actual talk had been accompanied by dazzling computer demonstrations. The detailed review of H. Cohn describes the construction of modular equations as the basis of studies of modular forms in the one-dimensional and Hilbert cases.

Additive Number Theory of Polynomials Over a Finite Field

Gove W. Effinger,David R. Hayes
Additive Number Theory of Polynomials Over a Finite Field Book PDF

Author : Gove W. Effinger,David R. Hayes
Publisher : Unknown
Page : 184 pages
File Size : 55,9 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015022029501

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Additive Number Theory of Polynomials Over a Finite Field by Gove W. Effinger,David R. Hayes Pdf

This book helps gather the sum of additive number theory.

Structural Additive Theory

David J. Grynkiewicz
Structural Additive Theory Book PDF

Author : David J. Grynkiewicz
Publisher : Springer Science & Business Media
Page : 426 pages
File Size : 53,7 Mb
Release : 2013-05-30
Category : Mathematics
ISBN : 9783319004167

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Structural Additive Theory by David J. Grynkiewicz Pdf

​Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets and subsequences of an abelian group, i.e., sumsets and subsequence sums. This text is a hybrid of a research monograph and an introductory graduate textbook. With few exceptions, all results presented are self-contained, written in great detail, and only reliant upon material covered in an advanced undergraduate curriculum supplemented with some additional Algebra, rendering this book usable as an entry-level text. However, it will perhaps be of even more interest to researchers already in the field. The majority of material is not found in book form and includes many new results as well. Even classical results, when included, are given in greater generality or using new proof variations. The text has a particular focus on results of a more exact and precise nature, results with strong hypotheses and yet stronger conclusions, and on fundamental aspects of the theory. Also included are intricate results often neglected in other texts owing to their complexity. Highlights include an extensive treatment of Freiman Homomorphisms and the Universal Ambient Group of sumsets A+B, an entire chapter devoted to Hamidoune’s Isoperimetric Method, a novel generalization allowing infinite summands in finite sumset questions, weighted zero-sum problems treated in the general context of viewing homomorphisms as weights, and simplified proofs of the Kemperman Structure Theorem and the Partition Theorem for setpartitions.