2 citations · 3 across the 14 of their papers we have counts for
4 papers · 2 filters
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…
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…
On the Number of Parts in Congruence Classes for Partitions into Distinct Parts
William Craig
For integers , let the function denote the number of parts among all partitions of into distinct parts that are congruent to modulo . We prove…
Distributions on partitions arising from Hilbert schemes and hook lengths
Kathrin Bringmann, William Craig, Joshua Males +1
Recent works at the interface of algebraic combinatorics, algebraic geometry, number theory, and topology have provided new integer-valued invariants on integer partitions. It is n…