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Book
Combinatorial and Additive Number Theory : CANT 2011 and 2012
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ISBN: 1493916017 1493916009 Year: 2014 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Abstract

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.


Book
Combinatorial and Additive Number Theory II : CANT, New York, NY, USA, 2015 and 2016
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ISBN: 3319680323 3319680307 Year: 2017 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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. .


Book
Elementary methods in number theory
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ISBN: 128001072X 9786610010721 0387227385 Year: 2000 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Elementary Methods in Number Theory begins with "a first course in number theory" for students with no previous knowledge of the subject. The main topics are divisibility, prime numbers, and congruences. There is also an introduction to Fourier analysis on finite abelian groups, and a discussion on the abc conjecture and its consequences in elementary number theory. In the second and third parts of the book, deep results in number theory are proved using only elementary methods. Part II is about multiplicative number theory, and includes two of the most famous results in mathematics: the Erdös-Selberg elementary proof of the prime number theorem, and Dirichlets theorem on primes in arithmetic progressions. Part III is an introduction to three classical topics in additive number theory: Warings problems for polynomials, Liouvilles method to determine the number of representations of an integer as the sum of an even number of squares, and the asymptotics of partition functions. Melvyn B. Nathanson is Professor of Mathematics at the City University of New York (Lehman College and the Graduate Center). He is the author of the two other graduate texts: Additive Number Theory: The Classical Bases and Additive Number Theory: Inverse Problems and the Geometry of Sumsets.


Book
Combinatorial and Additive Number Theory III : CANT, New York, USA, 2017 and 2018
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ISBN: 3030311066 3030311058 Year: 2020 Publisher: Cham : Springer International Publishing : Imprint: Springer,

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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: the classical bases
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ISBN: 038794656X Year: 1996 Publisher: New York, N.Y. Springer

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Book
Combinatorial and Additive Number Theory V : CANT, New York, USA 2021
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ISBN: 3031107950 3031107969 Year: 2023 Publisher: Cham Springer International Publishing AG

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Unusual applications of number theory
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ISBN: 0821827030 Year: 2004 Publisher: Providence American mathematical society

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Digital
Combinatorial and Additive Number Theory : CANT 2011 and 2012
Author:
ISBN: 9781493916016 Year: 2014 Publisher: New York, NY Springer

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Abstract

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.


Digital
Combinatorial and Additive Number Theory II : CANT, New York, NY, USA, 2015 and 2016
Author:
ISBN: 9783319680323 Year: 2017 Publisher: Cham Springer International Publishing

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Abstract

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. .

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