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Quaestiones Mathematicae

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

Cristina Ballantine, Mircea Merca

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




http://dx.doi.org/10.2989/16073606.2017.1287135
AJOL African Journals Online