Inequalities involving the generating function for the number of partitions into odd parts
classification
🧮 math.NT
math.CO
keywords
functiongeneratingnumberpartitionspartsinequalitiesinvolvingcoefficients
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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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