Meijie Lu

collaborators

3 papers

math.NT2023

On the distribution of $k$ -free numbers on the view point of random walks

Kui Liu, Meijie Lu

In this paper, we investigate the distribution of $k$ -free numbers in a class of $α$ -random walks on the integer lattice $Z$ . In these walks, the walker starts from a non-…

math.NT2023★ 1 cited

Visible lattice points in Pólya's walk

Meijie Lu, Xianchang Meng

In this paper, for any integer $k \geq 2$ , we study the distribution of the visible lattice points in certain generalized Pólya's walk on $Z^{k}$ : perturbed Pólya's walk and…

math.NT2022

Visible lattice points in higher dimensional random walks and biases among them

Kui Liu, Meijie Lu, Xianchang Meng

For any integers $k \geq 2$ , $q \geq 1$ and any finite set $A = {α_{1}, \dots, α_{q}}$ , where ${ \boldsymbolα_t}=(α_{t,1},\cdots,α_{t,k})~(1\leq t\leq…

On the distribution of k-free numbers on the view point of random walks

Visible lattice points in Pólya's walk

Visible lattice points in higher dimensional random walks and biases among them

On the distribution of $k$ -free numbers on the view point of random walks