G. Beck

collaborators

Showing math.COShow all

2 papers · 1 filter

math.CO2024

Elementary symmetric partitions

Cristina Ballantine, George Beck, Mircea Merca +1

Let e_k(x_1,...,x_l) be an elementary symmetric polynomial and let mu = (mu_1,...,mu_l) be an integer partition. Define pre_k(mu) to be the partition whose parts are the summands i…

math.CO2024

Partitions and elementary symmetric polynomials -- an experimental approach

Cristina Ballantine, George Beck, Mircea Merca

Given a partition $I^»$ , we write $e_{j} (I^»)$ for the $j^{th}$ elementary symmetric polynomial $e_{j}$ evaluated at the parts of $I^»$ and $e_{j} p_{A} (n)$ for the sum of $e_{j} (I^»)$ a…