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math.CO2023
On the distribution of the norm of partitions
Walter Bridges, William Craig
The norm of an integer partition is defined as the product of its parts. This statistic was recently introduced by Schneider in connection to partition zeta functions. In this note…
math.CO2023★ 2 cited
Hook length biases and general linear partition inequalities
Cristina Ballantine, Hannah Burson, William Craig +2
Motivated in part by hook-content formulas for certain restricted partitions in representation theory, we consider the total number of hooks of fixed length in odd versus distinct…
math.CO2021
Seaweed Algebras and the Index Statistic for Partitions
William Craig
In 2018 Coll, Mayers, and Mayers conjectured that the -series is the generating function for a certain parity statistic related to the index of se…