Geometric Properties of Periodic Lattices in Function Fields
Number Theory
2025-12-11 v3 Metric Geometry
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.
Cite
@article{arxiv.2503.11987,
title = {Geometric Properties of Periodic Lattices in Function Fields},
author = {Noy Soffer Aranov},
journal= {arXiv preprint arXiv:2503.11987},
year = {2025}
}
Comments
Made minor corrections