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The universal quaternary quadratic form with the maximal discriminant

Part of: Forms and linear algebraic groups

Published online by Cambridge University Press:  26 February 2010

Hiromu Iwabuchi
Hiromu Iwabuchi
Affiliation:
Faculty of Science and Technology, Kobe University, Nada, Kobe 657-8501, Japan E-mail: iwa-buchi@ma.neweb.ne.jp
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Abstract

A positive definite integral quadratic form over rational integers is said to be universal, if it represents all positive integers. The universal quaternary quadratic form is determined with the maximal discriminant, which is 1073/4.

MSC classification

Secondary: 11E25: Sums of squares and representations by other particular quadratic forms
Type
Research Article
Information
Mathematika , Volume 49 , Issue 1-2 , June 2002 , pp. 197 - 199
Copyright
Copyright © University College London 2002

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References

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