| 整数集的唯一加权表示基 |
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| 引用本文： | 熊然. 整数集的唯一加权表示基[J]. 数学研究及应用, 2014, 34(3): 332-336 |
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| 作者姓名： | 熊然 |
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| 作者单位： | 安徽师范大学数学计算机科学学院, 安徽 芜湖 241003 |
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| 基金项目： | 国家自然科学基金(Grant No.10901002),安徽省自然科学基金(Grant No.1208085QA02). |
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| 摘 要： | Let k1, k2 be nonzero integers with(k1, k2) = 1 and k1k2≠-1. In this paper, we prove that there is a set A■Z such that every integer can be represented uniquely in the form n = k1a1 + k2a2, a1, a2 ∈ A.
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| 关 键 词： | 整数 基准 加权 非零 排列 |
| 收稿时间： | 2013-04-03 |
| 修稿时间： | 2013-06-04 |
Unique Weighted Representation Basis of Integers |
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| Ran XIONG. Unique Weighted Representation Basis of Integers[J]. Journal of Mathematical Research with Applications, 2014, 34(3): 332-336 |
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| Authors: | Ran XIONG |
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| Affiliation: | School of Mathematics and Computer Science, Anhui Normal University, Anhui 241003, P. R. China |
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| Abstract: | Let $k_{1}, k_{2}$ be nonzero integers with $(k_{1},k_{2})=1$ and $k_{1}k_{2}neq-1$. In this paper, we prove that there is a set $Asubseteqmathbb{Z}$ such that every integer can be represented uniquely in the form $n=k_{1}a_{1}+k_{2}a_{2},$ $a_{1}, a_{2}in A$. |
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| Keywords: | additive basis representation function. |
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