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arXiv · 2307.10880

Euclidean minima of algebraic number fields

Artūras Dubickas·Min Sha·Igor E. Shparlinski
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Abstract

In this paper, we use some of our previous results to improve an upper bound of Bayer-Fluckiger, Borello and Jossen on the Euclidean minima of algebraic number fields. Our bound depends on the degree $n$ of the field, its signature, discriminant and the Hermite constant in dimension $n$.

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Artūras Dubickas, Min Sha, Igor E. Shparlinski. 2023-07-20. Euclidean minima of algebraic number fields. https://arxiv.org/abs/2307.10880

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