Colorful Rings of Partition
History and Overview
2024-10-10 v2
Abstract
We visualize the identity p(n) = sum s(k) p(n-k)/n for the integer partition function p(n) involving the divisor function s, add comments on the history of visualizations of numbers, illustrate how different mathematical fields play together when proving lim p(n)^(1/n)=1 and introduce finite or infinite rings of partitions.
Cite
@article{arxiv.2410.03672,
title = {Colorful Rings of Partition},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:2410.03672},
year = {2024}
}
Comments
14 pages, 8 figures