4 papers
Inequalities and asymptotics for hook numbers in restricted partitions
William Craig, Madeline Locus Dawsey, Guo-Niu Han
In this paper, we consider the asymptotic properties of hook numbers of partitions in restricted classes. More specifically, we compare the frequency with which partitions into odd…
New Types of Sturm bounds via -adic transfer methods
William Craig
Sturm's theorem states that a modular form with coefficients in or can only have an explicitly bounded order of vanishing at infinity. This re…
Zeros of Hook Polynomials and Related Questions
Walter Bridges, William Craig, Amanda Folsom +1
We study the zero set of polynomials built from partition statistics, complementing earlier work in this direction by Boyer, Goh, Parry, and others. In particular, addressing a que…
Distribution of Alternating Sums of Parts in Partitions
William Craig, Runqiao Li
Recently, many authors have investigated how various partition statistics distribute as the size of the partition grows. In this work, we look at a particular statistic arising fro…