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

Chang Heon Kim; Ja Kyung Koo

arxiv: math/0411130 · v1 · submitted 2004-11-06 · 🧮 math.NT

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

Chang Heon Kim , Ja Kyung Koo This is my paper

classification 🧮 math.NT

keywords formulaeperiodicallypropertysuper-replicablevanishingapplycoefficientsderive

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

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