Another identity for complete bell polynomials based on Ramanujan’s congruences

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Abstract

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

Original languageEnglish
JournalJournal of Integer Sequences
Volume21
Issue number6
Publication statusPublished - 2018

Keywords

  • Bell polynomial
  • Divisor sum
  • Integer partition
  • Ramanujan’s congruence

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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