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

Byungchan Kim

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.


Keywords


Partitions, partition rank, partition congruence

Subject classification

11P83

Sponsor(s)

SeoulTech

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References


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