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arXiv · 2207.08233

Simultaneous $\mathfrak{p}$-orderings and equidistribution

Anna Szumowicz
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Abstract

Let $D$ be a Dedekind domain. Roughly speaking, a simultaneous $\mathfrak{p}$-ordering is a sequence of elements from $D$ which is equidistributed modulo every power of every prime ideal in $D$ as well as possible. Bhargava asked which subsets of the Dedekind domains admit simultaneous $\mathfrak{p}$-orderings. We give an overview on the progress in this problem. We also explain how it relates to the theory of integer valued polynomials and list some open problems.

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Anna Szumowicz. 2022-07-17. Simultaneous $\mathfrak{p}$-orderings and equidistribution. https://arxiv.org/abs/2207.08233

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