Divisibility among determinants of power matrices associated with integer-valued arithmetic functions
Let $a, b$ and $n$ be positive integers and $S = \left\{ {x_1, ..., x_n} \right\}$ be a set of $n$ distinct positive integers. The set $S$ is called a divisor chain if there is a permutation $\sigma $ of $\{1, ..., n\}$ such that $x_{\sigma (1)}|...|x_{\sigma (n)}$. We say that the set $S$ consists...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-02-01
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| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/math.2020130/fulltext.html |