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Another Identity for Complete Bell Polynomials based on Ramanujan's Congruences

Combinatorics 2018-09-13 v2

Abstract

Let p(n)p(n) be the number of partition of a positive integer nn. We derive a new identity for complete Bell polynomials based on a generating function of p(7n+5)p(7n+5) given by Ramanujan.

Keywords

Cite

@article{arxiv.1802.08443,
  title  = {Another Identity for Complete Bell Polynomials based on Ramanujan's Congruences},
  author = {Ho-Hon Leung},
  journal= {arXiv preprint arXiv:1802.08443},
  year   = {2018}
}

Comments

6 pages

R2 v1 2026-06-23T00:31:09.961Z