Super-replicable functions ${\cal N}(j_{1,N})$ and periodically vanishing property

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73124We 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.34 pagesNumber Theory11F03; 11F22Super-replicable functions ${\cal N}(j_{1,N})$ and periodically vanishing propertytext