Golden lattices

Details Golden lattices Golden lattices

2012-03-13

arxiv.org/abs/1203.2755v1

Mathematics

Number Theory

Scientific paper

Let $\vartheta := \frac{-1+\sqrt{5}}{2}$ be the golden ratio. A golden
lattice is an even unimodular $\Z[\vartheta ]$-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.

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