Sum-Free Sets and Related Sets

被引：0
|
作者：
Yuri Bilu
机构：
[1] Instituto de Matemática Pura e Aplicada,
[2] Estrada Dona Castorina; 110,undefined
[3] Jardim Botanico 22.460-320,undefined
[4] Rio de Janeiro,undefined
[5] RJ BRAZIL; Current address: Mathematisches Institut,undefined
[6] Universität Basel; Rheinsprung 21,undefined
[7] CH-4051 Basel,undefined
[8] Switzerland; E-mail: yuri@math.unibas.ch,undefined
来源：
Combinatorica | 1998年 / 18卷
关键词：
AMS Subject Classification (1991) Classes:  11B75, 11B25, 11P99, 11D04;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
of integers is sum-free if \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}. Cameron conjectured that the number of sum-free sets \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} is \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}. As a step towards this conjecture, we prove that the number of sets \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} satisfying \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} is \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}.
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页码：449 / 459
页数：10
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