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Titlebook: Combinatorial and Additive Number Theory II; CANT, New York, NY, Melvyn B. Nathanson Conference proceedings 2017 Springer International Pu

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书目名称Combinatorial and Additive Number Theory II
副标题CANT, New York, NY,
编辑Melvyn B. Nathanson
视频video
概述Collates recent advances in combinatorial and additive number theory from distinguished mathematicians in the field.Points to future areas of research.All papers feature original, peer-reviewed conten
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Combinatorial and Additive Number Theory II; CANT, New York, NY,  Melvyn B. Nathanson Conference proceedings 2017 Springer International Pu
描述.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. .
出版日期Conference proceedings 2017
关键词Additive number theory; Combinatorial number theory; Goldbach conjecture; Mathematics and computer scie
版次1
doihttps://doi.org/10.1007/978-3-319-68032-3
isbn_softcover978-3-319-88534-6
isbn_ebook978-3-319-68032-3Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer International Publishing AG 2017
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,A Misère-Play ,-Operator,eory 1:443–458, 1965). Here, we extend the operator to the misère-play convention and prove convergence and other properties; notably, more structure is obtained under misère-play as compared with the normal-play convention (Larsson in Theoret. Comput. Sci. 422:52–58, 2012).
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,Extending Babbage’s (Non-)Primality Tests,factor test. We also prove a partial converse of his non-primality test, based on a single congruence. Along the way we encounter Bachet, Bernoulli, Bézout, Euler, Fermat, Kummer, Lagrange, Lucas, Vandermonde, Waring, Wilson, Wolstenholme, and several contemporary mathematicians.
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C. L. Moreira,J. A. Peças Lopesmset of ., respectively. Here we review some of what is known and not yet known about the minimum sizes of these three types of sumsets, as well as their corresponding critical numbers. In particular, we discuss several new open direct and inverse problems.
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