Colorful Rings of Partition

Oliver Knill

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arXiv · 2410.03672

Colorful Rings of Partition

Oliver Knill

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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.

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Oliver Knill. 2024-09-13. Colorful Rings of Partition. https://arxiv.org/abs/2410.03672

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