Fibonacci-like property of partition function

Qi-Yang Zheng

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arXiv · 2308.06289

Fibonacci-like property of partition function

Qi-Yang Zheng

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Abstract

The main result of the paper is the Fibonacci-like property of the partition function. The partition function $p(n)$ has a property: $p(n) \leq p(n-1) + p(n-2)$. Our result shows that if we impose certain restrictions on the partition, then the inequality becomes an equality. Furthermore, we extend this result to cases with a greater number of summands.

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Qi-Yang Zheng. 2023-08-10. Fibonacci-like property of partition function. https://arxiv.org/abs/2308.06289

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