Integers without divisors in a given progression

被引：1
|
作者：
Narkiewicz, Wladyslaw [1 ]
Radziejewski, Maciej [2 ]
机构：
[1] Univ Wroclaw, Inst Math, PL-50384 Wroclaw, Poland
[2] Adam Mickiewicz Univ Poznan, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
MONATSHEFTE FUR MATHEMATIK | 2011年 / 164卷 / 01期
关键词：
Divisors in progressions; ZERO-SUM PROBLEMS;
D O I：
10.1007/s00605-010-0212-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An asymptotic formula is given for the number of integers n a parts per thousand currency sign x which do not have divisors in a fixed arithmetical progression. This extends a previous result of Banks et al. (Forum Math 20:1005-1037, 2008) who considered the case of progressions with prime difference.
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页码：75 / 85
页数：11
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