SUPER-REPLICABLE FUNCTIONS N(j1,N) AND PERIODICALLY VANISHING PROPERTY

Title & Authors
SUPER-REPLICABLE FUNCTIONS N(j1,N) AND PERIODICALLY VANISHING PROPERTY
Kim, Chang-Heon; Koo, Ja-Kyung;

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 $\small{\aleph(j_{1,N})}$ as a super-replicable function.
Keywords
modular function;Hauptmodul;Thompson series;replicable;super-replicable;
Language
English
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