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arXiv · 2503.11987

Geometric Properties of Periodic Lattices in Function Fields

Noy Soffer Aranov
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Abstract

Periodic lattices are natural generalizations of lattices, which arise naturally in diophantine approximations with rationals of bounded denominators. In this paper, we prove analogues of classical theorems in geometry of numbers for periodic lattices in function fields. Moreover, we use special matrices to compute the covering and packing radii of special periodic lattices.

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Noy Soffer Aranov. 2025-12-10. Geometric Properties of Periodic Lattices in Function Fields. https://arxiv.org/abs/2503.11987

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