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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.NT2023
The Riemann Hypothesis for period polynomials of cusp forms
William Craig, Wissam Raji
We consider the period polynomials associated with cusp forms of weight on all of , which are generating functions for the…
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…