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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 356-358, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00038.9 (Received on 20.01.2019 Revised on 27.05.2019 Accepted on 08.06.2019)

THE TRIPLE AND QUADRUPLE COMPLETE PARTITIONS OF INTEGERS

P. Geetha1,*, A. Gnanam2
Author’s Affiliation : 1Assistant Professor, Department of Mathematics, Periyar Maniammai Institute of Science & Technology, Periyar Nagar, Vallam, Thanjavur, Tamil Nadu 613403, India. E-mail: [email protected] 2Assistant Professor, Department of Mathematics, Government Arts College, Thuvakkudimalai, Trichy, Tamil Nadu 620022, India. E-mail: [email protected]

Corresponding Author : P. Geetha, Assistant Professor, Department of Mathematics, Periyar Maniammai Institute of Science & Technology, Periyar Nagar, Vallam, Thanjavur, Tamil Nadu 613403, India,
E-Mail:-[email protected]


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.

     2010 Mathematics Subject Classification- Primary: 11A99, 11P81

Keywords

Partitions, Complete Partitions, Double complete partitions.
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