Kui Liu

activity

20122020

collaborators

4 papers

math.NT2020

Random walks on generalized visible lattice points

Kui Liu, Xianchang Meng

We consider the proportion of generalized visible lattice points in the plane visited by random walkers. Our work concerns the visible lattice points in random walks in three aspec…

math.NT2020

Visible lattice points along curves

Kui Liu, Xianchang Meng

This paper concerns the number of lattice points in the plane which are visible along certain curves to all elements in some set S of lattice points simultaneously. By proposing th…

math.NT2016

Divisor problem in arithmetic progressions modulo a prime power

Kui Liu, Igor E. Shparlinski, Tianping Zhang

We obtain an asymptotic formula for the average value of the divisor function over the integers $n \leq x$ in an arithmetic progression $n \equiv a (mod q)$ , where $q = p^{k}$ for a pri…

math.NT2012

On the mean value of a kind of Zeta functions

Kui Liu

Let $d_{α, β} (n) = n = k l α l < k \leq β l \sum 1$ be the number of ways of factoring n into two almost equal integers. For rational numbers $0 < α < β$ , we consider the follo…