A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Skew circulant quadratic forms
1972
Journal of Number Theory
This paper investigates positive definite unimodular quadratic forms in n variables with rational integer coefficients and a skew circulant as the coefficient matrix. It is shown for n < 13 that every such form is in the principal class, but that this no longer holds for n = 14. It is also shown that such forms can never be even. This behaviour is opposite to that for forms with a circulant as the coefficient matrix.
doi:10.1016/0022-314x(72)90028-5
fatcat:mj6ft7hccncujnkuhrmecka4me