Even universal binary Hermitian lattices over imaginary quadratic fields
Number Theory
2009-02-19 v2
Abstract
A positive definite even Hermitian lattice is called \emph{even universal} if it represents all even positive integers. We introduce a method to get all even universal binary Hermitian lattices over imaginary quadratic fields for all positive square-free integers and we list optimal criterions on even universality of Hermitian lattices over which admits even universal binary Hermitian lattices.
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Cite
@article{arxiv.0809.0799,
title = {Even universal binary Hermitian lattices over imaginary quadratic fields},
author = {Byeong Moon Kim and Ji Young Kim and Poo-Sung Park},
journal= {arXiv preprint arXiv:0809.0799},
year = {2009}
}
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11 Pages