English

A probabilistic proof of Euler's pentagonal number theorem

Number Theory 2025-09-17 v3 Combinatorics Probability

Abstract

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

Keywords

Cite

@article{arxiv.2501.03134,
  title  = {A probabilistic proof of Euler's pentagonal number theorem},
  author = {Shane Chern},
  journal= {arXiv preprint arXiv:2501.03134},
  year   = {2025}
}

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Published version

R2 v1 2026-06-28T20:57:44.595Z