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http://dx.doi.org/10.7858/eamj.2012.046

UNIVERSAL QUATERNARY LATTICES OVER F q[x]  

Lee, Chong Gyu (Department of Mathematics, Soongsil University)
Publication Information
East Asian mathematical journal / v.28, no.5, 2012 , pp. 605-615 More about this Journal
Abstract
In this paper, we show that any definite lattice over $\mathbb{F}_q[x]$ is universal if and only if it is quaternary and its discriminant is of degree 2, where $ch(\mathbb{F}_q){\neq}2$. The Four Conjecture follows as an immediate consequence.
Keywords
the four conjecture; universal lattice over a polynomial ring;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
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