Super-replicable functions ${\cal N}(j_{1,N})$ and periodically   vanishing property
  We find the super-replication formulae which would be a generalization of replication formulae. And we apply the formulae to derive periodically vanishing property in the Fourier coefficients of the Hauptmodul ${\cal N}(j_{1,12})$ as a super-replicable function. 
Chang Heon Kim and Ja Kyung Koo