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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 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....

Cayley orders

Arjeh M. Cohen, Gabriele Nebe, Wilhelm Plesken (1996)

Compositio Mathematica

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