Golden lattices

  title={Golden lattices},
  author={Gabriele Nebe},
  • G. Nebe
  • Published 13 March 2012
  • Mathematics
Let θ := −1+ √ 5 2 be the golden ratio. A golden lattice is an even unimodular Z[θ]-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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