A probabilistic proof of Euler's pentagonal number theorem

2025/01/06 by Chern, Shane
#05A19 #11P84 #60C05 #Combinatorics (math.CO) #FOS: Mathematics #Number Theory (math.NT) #Probability (math.PR)

paper · doi:10.48550/arxiv.2501.03134

Abstract

We present a probabilistic proof of Euler's pentagonal number theorem based on a shuffling model.

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• Euler and the pentagonal number theorem
• The Eulerian numbers can D.I.E
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