A bijection for Euler's partition theorem in the spirit of Bressoud

John Murray

A bijection for Euler's partition theorem in the spirit of Bressoud

Combinatorics 2018-03-30 v1

Authors: John Murray

Abstract

For each positive integer $n$ , we construct a bijection between the odd partitions and the distinct partitions of $n$ which extends Bressoud's bijection between the odd-and-distinct partitions of $n$ and the splitting partitions of $n$ . We compare our bijection with the classical bijections of Glaisher and Sylvester, and also with a recent bijection due to Chen, Gao, Ji and Li.

Keywords

Euler's partition theorem bijection odd partitions distinct partitions Bressoud's bijection splitting partitions

Cite

@article{arxiv.1803.11104,
  title  = {A bijection for Euler's partition theorem in the spirit of Bressoud},
  author = {John Murray},
  journal= {arXiv preprint arXiv:1803.11104},
  year   = {2018}
}

Comments

10 pages, 3 colour figures

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