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arXiv · 2605.30466

Density of subsets of squarefree elements in certain Dedekind domains

Eunju Shin
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Abstract

We consider polynomial rings over finite fields and rings of integers of imaginary quadratic fields $\mathbb{Q}(\sqrt{-D})$. In this paper, we formulate the density of squarefree elements divisible by all elements of $T$ but by none of $P$, where $T$ and $P$ are subsets of squarefree elements and $T$ is finite. We also define Mersenne irreducibles in order to estimate the density of squarefree elements divisible by none of $P$.

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Eunju Shin. 2026-05-28. Density of subsets of squarefree elements in certain Dedekind domains. https://arxiv.org/abs/2605.30466

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