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

Polygonal partitions

Main Article Content

Byungchan Kim

Abstract

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.



Article Details

Supporting Agencies

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

References

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