Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

The Triple and Quadruple Complete Partitions of Integers

1Assistant Professor, Department of Mathematics, Periyar Maniammai Institute of Science & Technology, Periyar Nagar, Vallam, Thanjavur, Tamil Nadu613403, India

2Assistant Professor, Department of Mathematics, Government Arts College, Thuvakkudimalai, Trichy, Tamil Nadu620022, India

*P. Geetha, Assistant Professor, Department of Mathematics, Periyar Maniammai Institute of Science & Technology, Periyar Nagar, Vallam, Thanjavur, Tamil Nadu 613403, India E-mail: maxgeetha@gmail.com

**E-mail: gnaanam@yahoo.com

Abstract

Complete partitions are introduced by S.K. Park [6] and the representation of a positive integer in terms of a sum of smaller numbers with certain conditions has been developed by Mac Mahon [5] in perfect partitions. This paper presents the concepts of complete partition, double complete partition and an attempt is made for the triple and quadruple complete partitions of integers.

Keywords

Partitions, Complete Partitions, Double complete partitions, Primary, 11A99, 11P81