International Journal of Research in Engineering and Applied Sciences
  • Year: 2015
  • Volume: 5
  • Issue: 3

The number of Smallest parts of jth overpartitions of n

  • Author:
  • K. Hanuma Reddy, A. Manjusri, G V R K. Sagar
  • Total Page Count: 9
  • Page Number: 29 to 37

*Department of Mathematics, Hindu College Acharya Nagarjuna University, Guntur, A.P-522002

**Department of Mathematics, GOVT Polytechnic Ponnur, Guntur Dt, A.P.-522124

Online published on 20 July, 2015.

Abstract

Sylvie Corteel and Jeremy Lovejoy [7] defined overpartitions and George E Andrews derived formula for the number of smallest parts of partitions of a positive integer n. In this paper the concepts of jth overpartition and r-jth overpartition of n are introduced and a formula for the number of smallest parts of the jth overpartition is derived by using r-jth overpartitions of n.

Keywords

Partition, jth overpartition, r-jth overpartition, smallest parts of the partition, r-jth overpartition of positive integer n