2 citations · 3 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…