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Combinatorial And Additive Number Theory Iv


Combinatorial And Additive Number Theory Iv
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Combinatorial And Additive Number Theory Iv


Combinatorial And Additive Number Theory Iv
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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Nature
Release Date : 2021-08-12

Combinatorial And Additive Number Theory Iv written by Melvyn B. Nathanson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-12 with Mathematics categories.


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 Vi


Combinatorial And Additive Number Theory Vi
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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Nature
Release Date : 2025-02-21

Combinatorial And Additive Number Theory Vi written by Melvyn B. Nathanson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-21 with Mathematics categories.


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 V


Combinatorial And Additive Number Theory V
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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Nature
Release Date : 2023-01-01

Combinatorial And Additive Number Theory V written by Melvyn B. Nathanson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-01 with Mathematics categories.


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.



Additive Number Theory The Classical Bases


Additive Number Theory The Classical Bases
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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Additive Number Theory The Classical Bases 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 2013-03-14 with Mathematics categories.


[Hilbert's] style has not the terseness of many of our modem authors in mathematics, which is based on the assumption that printer's labor and paper are costly but the reader's effort and time are not. H. Weyl [143] The purpose of this book is to describe the classical problems in additive number theory and to introduce the circle method and the sieve method, which are the basic analytical and combinatorial tools used to attack these problems. This book is intended for students who want to lel?Ill additive number theory, not for experts who already know it. For this reason, proofs include many "unnecessary" and "obvious" steps; this is by design. The archetypical theorem in additive number theory is due to Lagrange: Every nonnegative integer is the sum of four squares. In general, the set A of nonnegative integers is called an additive basis of order h if every nonnegative integer can be written as the sum of h not necessarily distinct elements of A. Lagrange 's theorem is the statement that the squares are a basis of order four. The set A is called a basis offinite order if A is a basis of order h for some positive integer h. Additive number theory is in large part the study of bases of finite order. The classical bases are the squares, cubes, and higher powers; the polygonal numbers; and the prime numbers. The classical questions associated with these bases are Waring's problem and the Goldbach conjecture.



Combinatorial And Additive Number Theory


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.



Number Theory And Combinatorics


Number Theory And Combinatorics
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Author : Bruce M. Landman
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-04-19

Number Theory And Combinatorics written by Bruce M. Landman and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-19 with Mathematics categories.


Over a career that spanned 60 years, Ronald L. Graham (known to all as Ron) made significant contributions to the fields of discrete mathematics, number theory, Ramsey theory, computational geometry, juggling and magical mathematics, and many more. Ron also was a mentor to generations of mathematicians, he gave countless talks and helped bring mathematics to a wider audience, and he held signifi cant leadership roles in the mathematical community. This volume is dedicated to the life and memory of Ron Graham, and includes 20-articles by leading scientists across a broad range of subjects that refl ect some of the many areas in which Ron worked.



Combinatorial And Additive Number Theory Iii


Combinatorial And Additive Number Theory Iii
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Author : Melvyn B. Nathanson
language : en
Publisher: Springer Nature
Release Date : 2019-12-10

Combinatorial And Additive Number Theory Iii written by Melvyn B. Nathanson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-10 with Mathematics categories.


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.



Mathematics And Logics In Computer Science


Mathematics And Logics In Computer Science
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Author : Atul Chaturvedi
language : en
Publisher: Springer Nature
Release Date : 2025-07-25

Mathematics And Logics In Computer Science written by Atul Chaturvedi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-25 with Computers categories.


This book presents high-quality research papers presented at International Conference on Mathematics and Logics in Computer Science (ICMLCS 2024) held at Allenhouse Institute of Technology, Kanpur, India, during August 30–31, 2024. The book covers recent research in data science, network security, theory of computing, network security, cloud computing, coding theory, linear algebra and its applications in machine learning, artificial intelligence, block chain, deep learning, graph theory, cryptography, cyber security, internet of things, quantum computing, and steganography.



Combinatorial Number Theory And Additive Group Theory


Combinatorial Number Theory And Additive Group Theory
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Author : Alfred Geroldinger
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-06-04

Combinatorial Number Theory And Additive Group Theory written by Alfred Geroldinger 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 2009-06-04 with Mathematics categories.


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.



Number Theory And Its Applications


Number Theory And Its Applications
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Author : Cheon Seoung Ryoo
language : en
Publisher: BoD – Books on Demand
Release Date : 2020-11-04

Number Theory And Its Applications written by Cheon Seoung Ryoo and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-04 with Mathematics categories.


Number theory and its applications are well known for their proven properties and excellent applicability in interdisciplinary fields of science. Until now, research on number theory and its applications has been done in mathematics, applied mathematics, and the sciences. In particular, number theory plays a fundamental and important role in mathematics and applied mathematics. This book is based on recent results in all areas related to number theory and its applications.