Colorful Rings of Partition

Autor: Knill, Oliver
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 14 pages, 8 figures
Databáze: arXiv