TY - JOUR
T1 - Convolution sums of a divisor function for prime levels
AU - Cho, Bumkyu
N1 - Publisher Copyright:
© 2020 World Scientific Publishing Company.
PY - 2020/4/1
Y1 - 2020/4/1
N2 - Recently, many identities for the convolution sum Wa,b(n):=Σa,l+bm=nσ(l)σ(m)) of the divisor function σ(n):=Σd|nd 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.
AB - Recently, many identities for the convolution sum Wa,b(n):=Σa,l+bm=nσ(l)σ(m)) of the divisor function σ(n):=Σd|nd 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.
KW - convolution sums
KW - Divisor functions
KW - quasimodular forms
UR - http://www.scopus.com/inward/record.url?scp=85072583382&partnerID=8YFLogxK
U2 - 10.1142/S179304212050027X
DO - 10.1142/S179304212050027X
M3 - Article
AN - SCOPUS:85072583382
SN - 1793-0421
VL - 16
SP - 537
EP - 546
JO - International Journal of Number Theory
JF - International Journal of Number Theory
IS - 3
ER -