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math.CO2014
Stability of coefficients in the Kronecker product of a hook and a rectangle
Cristina Ballantine, Bill Hallahan
We use recent work of Jonah Blasiak (2012) to prove a stability result for the coefficients in the Kronecker product of two Schur functions: one indexed by a hook partition and one…
math.NT2014
Inequalities involving the generating function for the number of partitions into odd parts
Cristina Ballantine, Mircea Merca
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 inequalitie…