18 citations · 36 across the 14 of their papers we have counts for
17 papers
Oscillating asymptotics and conjectures of Andrews
Amanda Folsom, Joshua Males, Larry Rolen +1
In 1986, Andrews studied the function from Ramanujan's ``Lost" Notebook, and made several conjectures on its Fourier coefficients , which count certain partition ranks…
On the number of parts in all partitions enumerated by the Rogers-Ramanujan identities
Cristina Ballantine, Amanda Folsom
The celebrated Rogers-Ramanujan identities equate the number of integer partitions of () with parts congruent to (respectively $\pm 2 \pmod{5}…
Hook length biases and general linear partition inequalities
Cristina Ballantine, Hannah Burson, William Craig +2
Motivated in part by hook-content formulas for certain restricted partitions in representation theory, we consider the total number of hooks of fixed length in odd versus distinct…
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 $…
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…
On a Partition Identity of Lehmer
Cristina Ballantine, Hannah E. Burson, Amanda Folsom +3
Euler's identity equates the number of partitions of any non-negative integer n into odd parts and the number of partitions of n into distinct parts. Beck conjectured and Andrews p…