18 citations · 36 across the 14 of their papers we have counts for
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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}…
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 $…
Quantum modular forms and singular combinatorial series with repeated roots of unity
Amanda Folsom, Min-Joo Jang, Sam Kimport +1
In 2007, G.E. Andrews introduced the -variable combinatorial generating function for ranks of -marked Durfee symbols, an -dimensional m…
Quantum modular forms and singular combinatorial series with distinct roots of unity
Amanda Folsom, Min-Joo Jang, Sam Kimport +1
Understanding the relationship between mock modular forms and quantum modular forms is a problem of current interest. Both mock and quantum modular forms exhibit modular-like trans…
Asymptotic behavior of partial and false theta functions arising from Jacobi forms and regularized characters
Kathrin Bringmann, Amanda Folsom, Antun Milas
We prove several asymptotic results for partial and false theta functions arising from Jacobi forms, as the modular variable tends to along the imaginary axis, and the elli…