Convolution sums of a divisor function for prime levels

초록

Recently, many identities for the convolution sum W-a,W-b(n) := Sigma(al+bm=n) (sigma(l)sigma(m)) of the divisor function sigma(n) := Sigma(d vertical bar n) d have been obtained since Royer obtained by the theory of quasimodular forms. We also present new identities for ab = 17, 29, 41, 47, 59 and 71 by using quasimodular forms.

키워드