Jixiang Wan

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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…