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arXiv · 1407.5552

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

Cristina Ballantine·Mircea Merca
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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.

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Cristina Ballantine, Mircea Merca. 2014-07-21. Inequalities involving the generating function for the number of partitions into odd parts. https://arxiv.org/abs/1407.5552

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