Even universal binary Hermitian lattices over imaginary quadratic fields

被引：3
|
作者：
Kim, Byeong Moon [1 ]
Kim, Ji Young [2 ]
Park, Poo-Sung [3 ]
机构：
[1] Gangneung Wonju Natl Univ, Dept Math, Gangneung City 210702, Gangwon Provide, South Korea
[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea
[3] Kyungnam Univ, Dept Math Educ, Masan 631701, Kyungnam, South Korea
来源：
FORUM MATHEMATICUM | 2011年 / 23卷 / 06期
关键词：
Binary Hermitian lattices; even universal; FORMS;
D O I：
10.1515/FORM.2011.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A positive definite even Hermitian lattice is called 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 Q(root-m) for all positive square-free integers m and we list optimal criterions on even universality of Hermitian lattices over Q(root-m) which admits even universal binary Hermitian lattices.
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页码：1189 / 1201
页数：13
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