English

A combinatorial proof of an identity for the divisor generating function

Combinatorics 2012-01-23 v1

Abstract

We translate Uchimura's identity for the divisor function and whose generalizations into combinatorics of partitions, and give a combinatorial proof of them. As a by-product of their proofs, we obtain some combinatorial results.

Keywords

Cite

@article{arxiv.1201.4216,
  title  = {A combinatorial proof of an identity for the divisor generating function},
  author = {Masanori Ando},
  journal= {arXiv preprint arXiv:1201.4216},
  year   = {2012}
}
R2 v1 2026-06-21T20:07:24.274Z