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J. Korean Math. Soc. 2008; 45(3): 621-630

Printed May 1, 2008

Copyright © The Korean Mathematical Society.

Primitive even $2$-regular positive quaternary quadratic forms

Byeong-Kweon Oh

Sejong University

Abstract

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In this paper, we provide a complete list of $177$ equivalence classes of primitive even $2$-regular quaternary positive definite quadratic forms and their discriminants. All of them have class number $1$.

Keywords: $2$-regular quaternary quadratic forms

MSC numbers: Primary 11E12, 11E20

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