2 papers
math.NT2022
An infinite family of vector-valued mock theta functions
Nickolas Andersen, Clayton Williams
We exhibit an infinite family of vector-valued mock theta functions indexed by positive integers coprime to . These are built from specializations of Dyson's rank generating fun…
math.GN2021
The Fractal Dimension of Product Sets
Machiel van Frankenhuijsen, Clayton Moore Williams
Using ultraproduct techniques we define a nonstandard Minkowski dimension which exists for all bounded sets and which has the property that That…