English

Golden lattices

Number Theory 2012-03-14 v1

Abstract

Let ϑ:=1+52\vartheta := \frac{-1+\sqrt{5}}{2} be the golden ratio. A golden lattice is an even unimodular Z[ϑ]\Z[\vartheta ]-lattice of which the Hilbert theta series is an extremal Hilbert modular form. We construct golden lattices from extremal even unimodular lattices and obtain families of dense modular lattices.

Keywords

Cite

@article{arxiv.1203.2755,
  title  = {Golden lattices},
  author = {Gabriele Nebe},
  journal= {arXiv preprint arXiv:1203.2755},
  year   = {2012}
}
R2 v1 2026-06-21T20:33:11.468Z