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math.NT2014
On The Gauss EYPHKA Theorem And Some Allied Inequalities
Alexander Berkovich
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…
math.NT2014
Essentially Unique Representations by Certain Ternary Quadratic Forms
Alexander Berkovich, Frank Patane
In this paper we generalize the idea of "essentially unique" representations by ternary quadratic forms. We employ the Siegel formula, along with the complete classification of ima…