Binary normal regular Hermitian lattices over imaginary quadratic fields

Details Binary normal regular Hermitian lattices over imaginary quadratic fields Binary normal regular Hermitian lattices over imaginary quadratic fields

2007-10-26

arxiv.org/abs/0710.4998v2

Mathematics

Number Theory

26 pages

Scientific paper

We call a positive definite Hermitian lattice regular if it represents all
integers which can be represented locally by the lattice. We investigate binary
regular Hermitian lattices over imaginary quadratic fields
$\mathbb{Q}(\sqrt{-m})$ and provide a complete list of the (normal) Hermitian
lattices.

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