Korean J. Math. Vol. 26 No. 2 (2018) pp.167-174
DOI: https://doi.org/10.11568/kjm.2018.26.2.167

Polygonal partitions

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Byungchan Kim


By acting the dihedral group $D_{k}$ on the set of $k$-tuple multi-partitions, we introduce $k$-gonal partitions for all positive integers $k$. We give generating functions for these new partition functions and investigate their arithmetic properties.

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Supporting Agencies

This study was supported by the Research Program funded by the SeoulTech (Seoul National University of Science and Technology).


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