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

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

2004-11-06

arxiv.org/abs/math/0411130v1

Mathematics

Number Theory

34 pages

Scientific paper

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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