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

Pankaj Jyoti Mahanta

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arXiv · 2010.07353

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

Pankaj Jyoti Mahanta

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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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Pankaj Jyoti Mahanta. 2022-10-21. On the number of partitions of $n$ whose product of the summands is at most $n$. https://arxiv.org/abs/2010.07353

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