Geometric properties of periodic lattices in function fields
Year: 2025
Type: article
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.
Source: Indagationes Mathematicae
Author: Noy Soffer Aranov
Institution: Graz University of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,140
OpenAlex ID: W4417280002