Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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ARITHMETIC PROPERTIES OF TRIANGULAR PARTITIONS

  • Kim, Byungchan (School of Liberal Arts Seoul National University of Science and Technology)
  • Received : 2020.04.26
  • Accepted : 2020.11.30
  • Published : 2020.12.30
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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

Acknowledgement

The author appreciate the anonymous referee for valuable suggestions and very careful reading, which improve the exposition of the paper a lot.

References

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