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arXiv · 2308.15415

On the variance of the Fibonacci partition function

Sam Chow·Owen Jones
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Abstract

We determine the order of magnitude of the variance of the Fibonacci partition function. The answer is different to the most naive guess. The proof involves a diophantine system and an inhomogeneous linear recurrence.

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Sam Chow, Owen Jones. 2023-08-29. On the variance of the Fibonacci partition function. https://arxiv.org/abs/2308.15415

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