Consecutive generalized r-free integers in Beatty sequences

被引：0
|
作者：
Srisopha, Sunanta [1 ]
Srichan, Teerapat [2 ]
Mavecha, Sukrawan [3 ]
机构：
[1] Valaya Alongkorn Rajabhat Univ Royal Patronage, Fac Sci, Div Appl Math, Pathum Thani 13180, Thailand
[2] Kasetsart Univ, Fac Sci, Dept Math, Bangkok 10900, Thailand
[3] King Mongkuts Inst Technol Ladkrabang, Fac Sci, Dept Math, Bangkok 10520, Thailand
来源：
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 01期
关键词：
Beatty sequence; Generalized r-free integer; (k; r)-Integer;
D O I：
10.1007/s40590-022-00482-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use the technique of Tangsupphathawat et al. to generalize a previous result on the distribution of consecutive square-free integers in Beatty sequences. Moreover, the distribution of consecutive semi r-free integers in Beatty sequences is also studied.
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页数：9
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