On the distribution of k-full lattice points in Z<sup>2</sup>
Let $ \mathbb{Z}^2 $ be the two-dimensional integer lattice. For an integer $ k\geq 2 $, we say a non-zero lattice point in $ \mathbb{Z}^2 $ is $ k $-full if the greatest common divisor of its coordinates is a $ k $-full number. In this paper, we first prove that the density of $ k $-full lattice po...
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Format: | Article |
Language: | English |
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AIMS Press
2022-03-01
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Series: | AIMS Mathematics |
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Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2022591?viewType=HTML |