| 无平方因子奇数DCS的一个必要条件 |
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| 引用本文： | 郭嵩,殷建莲.无平方因子奇数DCS的一个必要条件[J].淮阴师范学院学报(自然科学版),2004,3(3):173-175. |
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| 作者姓名： | 郭嵩 殷建莲 |
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| 作者单位： | 淮阴师范学院,数学系,江苏,淮安,223300;淮阴师范学院,数学系,江苏,淮安,223300 |
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| 基金项目： | 江苏省教育厅自然科学基金资助项目(02KJB110007) |
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| 摘 要： | 设A=｛as(ms):s=1, ,k｝为无平方因子奇数不同模覆盖系,设模的最小公倍数N=［m1,m2, ,mk］=p1p2 pn,其中p1
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| 关 键 词： | 同余覆盖系 不同模覆盖系 模 |
| 文章编号： | 1671-6876(2004)03-0173-03 |
| 修稿时间： | 2004年4月9日 |
Necessary Conditions for Distinct Covering Systems with Square-free Moduli |
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| GUO Song,YIN Jian-lian.Necessary Conditions for Distinct Covering Systems with Square-free Moduli[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2004,3(3):173-175. |
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| Authors: | GUO Song YIN Jian-lian |
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| Abstract: | Let A=｛a_s(m_s):s=1,…,k｝ be a finite system of arithmetic sequences that cover the integers where m_1,…,m_k and a_1,…,a_k∈Z. N is the least common multiple of the moduli.One fascinating problem on distinct covering systems (DCS) is if a DCS exist with all modulus odd In this paper we shall prove a necessary condition for A to be DCS consisting of odd square-free moduli. |
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| Keywords: | covering systems distinct covering systems modulus |
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