Guangyan Zhu

collaborators

4 papers

math.NT2026

Gcd-closed sets and divisibility among power LCM matrices

Guangyan Zhu

Let $a, b$ , and $n$ be positive integers and let $S = {x_{1}, \dots, x_{n}}$ be a set of $n$ distinct positive integers. We denote by $[S^{a}]$ the $n \times n$ matrix having the $a$ th po…

math.NT2026

Gcd-closed sets and divisibility among power GCD matrices and power LCM matrices

Guangyan Zhu

Let $a, b$ and $n$ be positive integers and let $S = {x_{1}, \dots, x_{n}}$ be a set of $n$ distinct positive integers. We denote by $(S^{a})$ (resp. $[S^{a}]$ ) the $n \times n$ matrix hav…

math.NT2025

Factorization of power GCD matrices and power LCM matrices on certain gcd-closed sets

Guangyan Zhu, Yuanyuan Luo, Jixiang Wan

For integers $x$ and $y$ , $(x, y)$ and $[x, y]$ stand for the greatest common divisor and the least common multiple of $x$ and $y$ respectively. Denote by $∣ T ∣$ the number of eleme…

math.NT2025

Divisibility among power GCD and power LCM matrices on certain gcd-closed sets

Jixiang Wan, Guangyan Zhu

Let $(x, y)$ and $[x, y]$ denote the greatest common divisor and the least common multiple of the integers $x$ and $y$ respectively. We denote by $∣ T ∣$ the number of elements of a…