Korean J. Math. Vol. 28 No. 4 (2020) pp.791-802
DOI: https://doi.org/10.11568/kjm.2020.28.4.791

Arithmetic properties of triangular partitions

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Published: Dec 30, 2020
Keywords:
Partitions, partition rank, 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

We obtain a two variable generating function for the number of triangular partitions. Using this generating function, we study arithmetic properties of a certain weighted count of triangular partitions. Finally, we introduce a rank-type function for triangular partitions, which gives a combinatorial explanation for a triangular partition congruence.



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SeoulTech

References

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