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eISSN: 2581-9615 || CODEN: WJARAI || Impact Factor 8.2 ||  CrossRef DOI

Research and review articles are invited for publication in March 2026 (Volume 29, Issue 3) Submit manuscript

The number of smallest parts of Partitions of n

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A Manjusree 1, * and Panuganti Srinivasa Sai 2

1 Department of Mathematics, Hindu college, Acharya Nagarjuna University, Guntur, A.P-522002, India.
2 Department of Mathematics, S. S and N College, Narasaraopet, Palnadu Dist, AP, India.
 
Review Article
World Journal of Advanced Research and Reviews, 2023, 17(01), 119-125
Article DOI: 10.30574/wjarr.2023.17.1.1390
DOI url: https://doi.org/10.30574/wjarr.2023.17.1.1390
 
Received on 06 November 2022; revised on 21 December 2022; accepted on 24 December 2022
 
George E Andrews derived formula for the number of smallest parts of partitions of a positive integer n. In this paper we derived the generating function for the number of smallest parts of all partitions of n utilizing r-partitions of n. We also derive the generating function for Ac(n) , the number of smallest parts of the partitions of n which are multiples of c and also to evaluate the sum of smallest parts of partitions of n by applying the concept of r-partitions of n.
 
Partition; r-partition; Smallest parts of the partition; r-partition of positive integer n
 
https://wjarr.com/sites/default/files/fulltext_pdf/WJARR-2022-1390.pdf

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A Manjusree and Panuganti Srinivasa Sai. The number of smallest parts of Partitions of n. World Journal of Advanced Research and Reviews, 2023, 17(1), 119-125. Article DOI: https://doi.org/10.30574/wjarr.2023.17.1.1390

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