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Super-replicable functions N(j1,N) and periodically vanishing property

Chang Heon Kim, Ja Kyung Koo

math.NTarXiv:math/0411130

Abstract

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 N(j1,12) as a super-replicable function.

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