English

New partition function recurrences

Combinatorics 2020-07-16 v1

Abstract

We present Euler-type recurrence relations for some partition functions. Some of our results provide new recurrences for the number of unrestricted partitions of nn, denote by p(n)p(n). Others establish recurrences for partition functions not yet considered.

Keywords

Cite

@article{arxiv.2007.07641,
  title  = {New partition function recurrences},
  author = {Robson da Silva and Pedro Diniz Sakai},
  journal= {arXiv preprint arXiv:2007.07641},
  year   = {2020}
}