On some partition theorems of M. V. Subbarao

Authors

  • Darlison Nyirenda University of the Witwatersrand
  • Beaullah Mgwangwavari University of the Witwatersrand

DOI:

https://doi.org/10.55016/ojs/cdm.v18i2.73143

Abstract

M.V. Subbarao proved that the number of partitions of $n$ in which parts occur with multiplicities 2, 3 and 5 is equal to the number of partitions of $n$ in which parts are congruent to $\pm2, \pm3, 6 \pmod{12}$, and generalized this result. In this paper, we give a new generalization of this identity and also present a new partition theorem in the spirit of Subbarao's generalization of the identity.

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Published

2023-12-31

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Section

Articles