On the number of partitions of $n$ whose product of the summands is at most $n$

Authors

  • Pankaj Jyoti Mahanta Gonit Sora

Abstract

We prove an explicit formula to count the partitions of $n$ whose product of the summands is at most $n$. In the process, we also deduce a result to count the multiplicative partitions of $n$.

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Published

18-10-2022

How to Cite

Mahanta, P. J. (2022). On the number of partitions of $n$ whose product of the summands is at most $n$. Journal of the Assam Academy of Mathematics, 12, 8–13. Retrieved from https://jaam.aamonline.org.in/ojs/index.php/j/article/view/59

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Section

Original Research Articles