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.

引用

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页码：75 / 85

页数：11

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