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Colorful Rings of Partition

Published 13 Sep 2024 in math.HO | (2410.03672v2)

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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