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math.NT2022
Equidistribution and partition polynomials
Amanda Folsom, Joshua Males, Larry Rolen
Using equidistribution criteria, we establish divisibility by cyclotomic polynomials of several partition polynomials of interest, including -crank, overpartition pairs, and $…
math.CO2022
Mock theta functions and related combinatorics
Cristina Ballantine, Hannah E. Burson, Amanda Folsom +3
In this paper we add to the literature on the combinatorial nature of the mock theta functions, a collection of curious -hypergeometric series introduced by Ramanujan in his las…