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

Chang Heon Kim·Ja Kyung Koo
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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 ${\cal N}(j_{1,12})$ as a super-replicable function.

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Chang Heon Kim, Ja Kyung Koo. 2004-11-06. Super-replicable functions ${\cal N}(j_{1,N})$ and periodically vanishing property. https://arxiv.org/abs/math/0411130

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