On The Gauss EYPHKA Theorem And Some Allied Inequalities

Alexander Berkovich

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arXiv · 1406.7835

On The Gauss EYPHKA Theorem And Some Allied Inequalities

Alexander Berkovich

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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.

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Alexander Berkovich. 2014-11-01. On The Gauss EYPHKA Theorem And Some Allied Inequalities. https://arxiv.org/abs/1406.7835

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