J. Korean Math. Soc. 2014; 51(2): 225-238
Printed March 1, 2014
https://doi.org/10.4134/JKMS.2014.51.2.225
Copyright © The Korean Mathematical Society.
Yoon Kyung Park
Korea Institute for Advanced Study
We apply modular function theory to find the relation among $t$-core partitions. By using the generators of function field corresponding to a certain modular group, we reprove the identities in \cite{BaruahBerndt} because their relations are linear for $t=3$ or $5$.
Keywords: $t$-cores, modular functions
MSC numbers: 05A17, 11F03, 11F30
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