Fibonacci-like property of partition function

Published 10 Aug 2023 in math.NT | (2308.06289v1)

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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Authors (1)

Qi-Yang Zheng

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