Chang Heon Kim

most citedSuper-replicable functions

N (j_{1, N})

and periodically vanishing property

3 citations · 3 across the 2 of their papers we have counts for

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math.NT2004

More on super-replication formulae

Chang Heon Kim, Ja Kyung Koo

We extend Norton-Borcherds-Koike's replication formulae to super-replicable ones by working with the congruence groups $Γ_{1} (N)$ and find the product identities which characterize s…

math.NT2004★ 3 cited

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

Chang Heon Kim, Ja Kyung Koo

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 c…

math.NT2002

Borcherds products associated with certain Thompson series

Chang Heon Kim

We apply Zagier's result for the traces of singular moduli to construct Borcherds products in higher level cases.

More on super-replication formulae

Super-replicable functions N(j1,N​) and periodically vanishing property

Borcherds products associated with certain Thompson series

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