Reciprocals of Subsum Polynomials

Cristina Ballantine, George Beck, Brooke Feigon +1

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