Inequalities involving the generating function for the number of partitions into odd parts

  • Cristina Ballantine
  • Mircea Merca
Keywords: Integer partitions, Fibonacci numbers, multinomial coefficients

Abstract

Fibonacci numbers can be expressed in terms of multinomial coefficients as sums over integer partitions into odd parts. We use this fact to introduce a family of double inequalities involving the generating function for the number of partitions into odd parts and the generating function for the number of odd divisors.

Keywords: Integer partitions, Fibonacci numbers, multinomial coefficients

Published
2017-05-19
Section
Articles

Journal Identifiers


eISSN: 1727-933X
print ISSN: 1607-3606