Inequalities involving the generating function for the number of partitions into odd parts
arXiv:1407.5552
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.
15 pages, improved argument that sequence of upper bounds in Theorem 5 is decreasing