BINOMIAL COEFFICIENTS AND THE RING OF p-ADIC INTEGERS

被引：1

作者：

Sun, Zhi-Wei ^{[1
]}

Zhang, Wei ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 139卷 / 05期

关键词：

D O I：

10.1090/S0002-9939-2010-10587-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let k > 1 be an integer and let p be a prime. We show that if p(a) <= k < 2p(a) or k = p(a)q + 1 (with q < p/2) for some a = 1,2,3, ... , then the set {(n k) : n = 0,1,2, ...} is dense in the ring Z(p) of p-adic integers; i.e., it contains a complete system of residues modulo any power of p.

引用

页码：1569 / 1577

页数：9

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