A Minimum Property for Cuboidal Lattice Sums
Number Theory
2025-03-25 v2
Abstract
We analyse a family of lattices considered by Conway and Sloane and show that the corresponding Epstein zeta function attains a local minimum for the body-centred cubic lattice.
Cite
@article{arxiv.2501.05746,
title = {A Minimum Property for Cuboidal Lattice Sums},
author = {Shaun Cooper and Peter Schwerdtfeger},
journal= {arXiv preprint arXiv:2501.05746},
year = {2025}
}