3 papers
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.NT2021
Asymptotic equidistribution for partition statistics and topological invariants
Giulia Cesana, William Craig, Joshua Males
We provide a general framework for proving asymptotic equidistribution, convexity, and log concavity of coefficients of generating functions on arithmetic progressions. Our central…
math.NT2021
On Ramanujan-type Congruences for Multiplicative Functions
William Craig, Mircea Merca
The study of Ramanujan-type congruences for functions specific to additive number theory has a long and rich history. Motivated by recent connections between divisor sums and overp…