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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Published: Jun 30, 2018
Keywords:
Partitions, group action, partition congruence
Mathematics Subject Classification:
11P83

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Byungchan Kim
School of Liberal Arts Seoul National University of Science and Technology Seoul, 01811, Korea

Abstract

By acting the dihedral group Dk 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).

References

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