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Wang Zhou

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Preprint Jul 2026

Functional Limit Theorems for Random Least Common Multiples

Let $A_n$ be a subset of $\{1,2,\ldots,n\}$ obtained by retaining each integer independently with fixed probability $\theta\in(0,1)$, and let $L_n$ be the least common multiple of the integers in $A_n$. We prove a functional large deviation principle, a functional moderate deviation principle, and a Strassen-type funct...

Shao-Chen Wang, Guangyu Yang, Wang Zhou · 0 citations