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

Chang Heon Kim; Ja Kyung Koo

Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2007; 44(2): 343-371

Printed March 1, 2007

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

Chang Heon Kim and Ja Kyung Koo

Seoul Women's university, Korea Advanced Institute of Science and Technology

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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 ${\mathcal N}(j_{1,12})$ as a super-replicable function.

Keywords: modular function, Hauptmodul, Thompson series, replicable, super-replicable

Journal of the
Korean Mathematical Society JKMS

Article

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

Abstract

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

Abstract

Article Tools

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Share this article on :

Related articles in JKMS

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Journal of the
Korean Mathematical Society JKMS