First and second moments of the number of distinct prime generators are derived for h-free and h-full elements in general abelian monoids, establishing their normal order and unifying several arithmetic settings.
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On the distribution of the number of distinct generators of h-free and h-full elements in an abelian monoid
First and second moments of the number of distinct prime generators are derived for h-free and h-full elements in general abelian monoids, establishing their normal order and unifying several arithmetic settings.