On the variance of the Fibonacci partition function
Number Theory
2023-08-30 v1
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.
Cite
@article{arxiv.2308.15415,
title = {On the variance of the Fibonacci partition function},
author = {Sam Chow and Owen Jones},
journal= {arXiv preprint arXiv:2308.15415},
year = {2023}
}