A NOTE ON VALUES OF BEATTY SEQUENCES THAT ARE FREE OF LARGE PRIME FACTORS

被引：3
|
作者：
Akbal, Yildirim [1 ]
机构：
[1] Atilim Univ, Dept Math, TR-06830 Ankara, Turkey
来源：
COLLOQUIUM MATHEMATICUM | 2020年 / 160卷 / 01期
关键词：
Beatty sequences; exponential sums; friable numbers; INTEGERS;
D O I：
10.4064/cm7715-2-2019
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let alpha and beta be fixed real numbers and suppose that alpha > 1 is irrational and of finite type. We study values of the non-homogeneous Beatty sequence {left perpendicular alpha n + beta right perpendicular}(n=1)(infinity)that are free of large prime factors, where left perpendicularxright perpendicular is the largest integer not exceeding x.
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页码：53 / 63
页数：11
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