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http://dx.doi.org/10.7858/eamj.2010.26.5.649

FINITENESS THEOREMS FOR 2-UNIVERSAL HERMITIAN LATTICES OVER SOME IMAGINARY QUADRATIC FIELDS

Park, Poo-Sung (DEPARTMENT OF MATHEMATICS EDUCATION KYUNGNAM UNIVERSITY)

Publication Information

East Asian mathematical journal / v.26, no.5, 2010 , pp. 649-654 More about this Journal

Abstract

A positive definite Hermitian lattice is said to be 2-universal if it represents all positive definite binary Hermitian lattices. We find some finiteness theorems which ensure 2-universality of Hermitian lattices over several imaginary quadratic number fields.

Keywords

Hermitian forms; local representation; 2-universal;

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