Universal forms over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{Q}(\sqrt{5})$\end{document}

被引:0
作者
Young Min Lee
机构
[1] Pohang University of Science and Technology,Pohang Mathematical Institute
关键词
Quadratic forms; Universal forms; Class number; Mass formula; 11E10; 11E41; 11E25;
D O I
10.1007/s11139-007-9099-4
中图分类号
学科分类号
摘要
In this paper, we find all quaternary universal positive definite integral quadratic forms over \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{Q}(\sqrt{5})$\end{document} and prove an analogue of Conway and Schneeberger’s 15-Theorem.
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