Reciprocals of Subsum Polynomials

Cristina Ballantine, George Beck, Brooke Feigon +1

We introduce the subsum polynomial of a partition $\hat{I}»=(\hat{I}{»}_1,\hat{I}{»}_2,\dots ,\hat{I}{»}_k)$ defined by $\mathrm{sp}(\hat{I}»,x)={\prod }_{i=1}^k(1+x^{\hat{I}{»}_i})$. We study the sum of reciprocals of $\ma…