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On The Gauss EYPHKA Theorem And Some Allied Inequalities (1406.7835v5)

Published 30 Jun 2014 in math.NT

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 + 8xy and 9x2+ 17y2 +32z2 -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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Authors (1)

  1. Alexander Berkovich