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math.NT2023
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…
math.NT2023
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}…
math.CO2023★ 2 cited
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…