PreprintCC BY 4.0arXiv
On short averages of the Fibonacci partition function
Abstract
We show that short averages of the Fibonacci partition function over (H, H + Hα] can be significantly smaller than long averages over (0,H], for any constant α∈ (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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BibTeX
@misc{chow2026short,
title = {{On short averages of the Fibonacci partition function}},
author = {Sam Chow and Owen Jones},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.39817},
eprint = {2610.39817},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.39817},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On short averages of the Fibonacci partition function
AU - Sam Chow
AU - Owen Jones
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2610.39817
UR - https://arxiv.org/abs/2610.39817
AB - 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∈ (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).
ER -