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A note on the density of k-free polynomial sets, haar measure and global fields

Demangos, L and Longhi, I (2021) A note on the density of k-free polynomial sets, haar measure and global fields. In: Quaestiones Mathematicae .

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Official URL: https://doi.org/10.2989/16073606.2021.1945701

Abstract

In this work we investigate the general relation between the density of a subset of the ring of integers D of a general global field and the Haar measure of its closure in the profinite completion (Figure presented.). We then study a specific family of sets, the preimages of k-free elements (for any given k � �{0, 1

Item Type: Journal Article
Publication: Quaestiones Mathematicae
Publisher: Taylor and Francis Ltd.
Additional Information: The copyright for this article belongs to Taylor and Francis Ltd.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 01 Dec 2021 14:41
Last Modified: 01 Dec 2021 14:41
URI: http://eprints.iisc.ac.in/id/eprint/70021

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