On The Gauss EYPHKA Theorem And Some Allied Inequalities
Number Theory
2014-11-04 v5
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: 9x^2+ 16y^2 +36z^2 + 16yz+ 4xz + 8xy and 9x^2+ 17y^2 +32z^2 -8yz+ 8xz + 6xy. We also discuss three nontrivial analogues of the Gauss EYPHKA theorem. The technique used can be applied to all known spinor regular ternary quadratic forms.
Keywords
Cite
@article{arxiv.1406.7835,
title = {On The Gauss EYPHKA Theorem And Some Allied Inequalities},
author = {Alexander Berkovich},
journal= {arXiv preprint arXiv:1406.7835},
year = {2014}
}
Comments
13 pages, Section 4 expanded