Zhaoxi Ye

collaborators

2 papers

math.NT2026

On a generalisation sum involving the Euler function

Zhaoxi Ye, Zhefeng Xu

Let $j \geq 1$ , $k \geq 0$ be real numbers and $I ¨ (n)$ be the Euler function. In this paper, we study the asymptotical behaviour of the summation function $$S_{j,k}(x):=\sum_{n\le x}\f…

math.NT2026

Involves averaging arithmetic and integral partial functions over sparse set

Zhaoxi Ye, Zhefeng Xu

Let $p$ be a prime number, $k \geq 0$ and $f$ be a class of arithmetic functions satisfying some simple conditions. In this short paper, we study the asymptotical behaviour of summat…