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.

引用

页码：1189 / 1201

页数：13

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