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arXiv · 1905.10590

A lower bound for the partition function from Chebyshev's inequality applied to a coin flipping model for the random partition

Mark Wildon
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Abstract

We use a coin flipping model for the random partition and Chebyshev's inequality to prove the lower bound $\lim \frac{\log p(n)}{\sqrt{n}} \ge C$ for the number of partitions $p(n)$ of $n$, where $C$ is an explicit constant.

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Mark Wildon. 2019-05-25. A lower bound for the partition function from Chebyshev's inequality applied to a coin flipping model for the random partition. https://arxiv.org/abs/1905.10590

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