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arXiv · 2610.39817

On short averages of the Fibonacci partition function

Sam Chow·Owen Jones
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Abstract

We show that short averages of the Fibonacci partition function over $(H, H + H^α]$ can be significantly smaller than long averages over $(0,H]$, for any constant $α\in (0,1)$. This provides a negative answer to a question that we asked in our previous work on this topic (Journal of Number Theory, 2024).

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Sam Chow, Owen Jones. 2026-10-29. On short averages of the Fibonacci partition function. https://arxiv.org/abs/2610.39817

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