Integer partitions revisited using multisets and binary matrices

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DOI:

https://doi.org/10.26637/MJM0801/0047

Abstract

In this paper, partition of a positive integer is represented as a multiset and binary matrix. New formulae and theorems of integer partition are developed by using the results of multiset theory and the binary matrix concept. Few properties of this binary matrix are found. Some well known theorems of integer partitions are proved using this binary matrix and multiset representations.

Keywords:

Multisets, Integer partitions, partitions,Conjugate of a partition, Self Conjugate, Binary matrix, 1-matri

Mathematics Subject Classification:

Mathematics
  • Pages: 282-287
  • Date Published: 01-01-2020
  • Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

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Published

01-01-2020

How to Cite

P. Suma, and J. Sunil Jacob. “Integer Partitions Revisited Using Multisets and Binary Matrices”. Malaya Journal of Matematik, vol. 8, no. 01, Jan. 2020, pp. 282-7, doi:10.26637/MJM0801/0047.