Sums of triangular numbers from the Frobenius determinant
نویسندگان
چکیده
منابع مشابه
Sums of Triangular Numbers from the Frobenius Determinant
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 4m2/d triangles, whenever d | 2m, and 4m(m + 1)/d triangles, when d | 2m or...
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ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2007
ISSN: 0001-8708
DOI: 10.1016/j.aim.2006.04.006