| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4593649 | Journal of Number Theory | 2015 | 18 Pages |
Abstract
We use the 1907 Hurwitz formula along with the Jacobi triple product identity to understand representation properties of two JP (Jones–Pall) forms of Kaplansky: 9x2+16y2+36z2+16yz+4xz+8xy9x2+16y2+36z2+16yz+4xz+8xy and 9x2+17y2+32z2−8yz+8xz+6xy9x2+17y2+32z2−8yz+8xz+6xy. We also discuss three nontrivial analogues of the Gauss E ϒPHKA theorem. The technique used can be applied to all known spinor regular ternary quadratic forms.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexander Berkovich,