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Bulletin of the Australian Mathematical Society Bulletin of the Australian Mathematical Society

Article contents

SIMPLE PROOFS FOR UNIVERSAL BINARY HERMITIAN LATTICES

Part of: Forms and linear algebraic groups

Published online by Cambridge University Press:  13 January 2010

POO-SUNG PARK
POO-SUNG PARK
Affiliation:
Department of Mathematics Education, Kyungnam University, Masan, 631-701, Korea (email: pspark@kyungnam.ac.kr)
Corresponding
E-mail address:
pspark@kyungnam.ac.kr
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Abstract

If a positive definite Hermitian lattice represents all positive integers, we call it universal. Several mathematicians, including the author, have between them found 25 universal binary Hermitian lattices. But their ad hoc proofs are complicated. We give simple and unified proofs of universality.

Keywords

universal Hermitian lattice binary Hermitian lattice

MSC classification

Secondary: 11E39: Bilinear and Hermitian forms 11E41: Class numbers of quadratic and Hermitian forms
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 81 , Issue 2 , April 2010 , pp. 274 - 280
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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