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arXiv · 2308.10177

A partition formula from idempotents

Charlotte Aten
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Abstract

A formula which only involves a partition number and elementary functions is derived by applying Burnside's Lemma to the set of idempotent maps from a set to itself. One side involves a summation over a set closely related to the partition number, however. Some speculation is made as to how to eliminate this summation.

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Charlotte Aten. 2023-08-20. A partition formula from idempotents. https://arxiv.org/abs/2308.10177

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