2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73125We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups $Γ_1(N)$ and find the product identities which characterize super-replicable functions. These will provide a clue for constructing certain new infinite dimensional Lie superalgebras whose denominator identities coincide with the above product identities. Therefore it could be one way to find a connection between modular functions and infinite dimensional Lie algebras.28 pagesNumber Theory11F03; 11F22text