Abstract
We show that the denominator formula for the strange series of affine superalgebras, conjectured by Kac and Wakimoto and proved by Zagier, follows from a classical determinant evaluation of Frobenius. As a limit case, we obtain exact formulas for the number of representations of an arbitrary number as a sum of 4 m 2 / d triangles, whenever d | 2 m , and 4 m ( m + 1 ) / d triangles, when d | 2 m or d | 2 m + 2 . This extends recent results of Getz and Mahlburg, Milne, and Zagier.
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