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Currently displaying 1 – 4 of 4

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Regular positive ternary quadratic forms

Byeong-Kweon Oh — 2011

Acta Arithmetica

Bounds for quadratic Waring's problem

Myung-Hwan Kim; Byeong-Kweon Oh — 2002

Acta Arithmetica

Almost regular quaternary quadratic forms

Jacek Bochnak; Byeong-Kweon Oh — 2008

Annales de l’institut Fourier

We investigate the almost regular positive definite integral quaternary quadratic forms. In particular, we show that every such form is $p$ -anisotropic for at most one prime number $p$ . Moreover, for a prime $p$ there is an almost regular $p$ -anisotropic quaternary quadratic form if and only if $p \leq 37$ . We also study the genera containing some almost regular $p$ -anisotropic quaternary form. We show several finiteness results concerning the families of these genera and give effective criteria for almost regularity....

New infinite families of 3-designs from algebraic curves of higher genus over finite fields.

Oh, Byeong-Kweon; Yu, Hoseog — 2007

The Electronic Journal of Combinatorics [electronic only]

Page 1

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