16 citations · 40 across the 20 of their papers we have counts for
4 papers · 1 filter
Inequalities for the th Residual Crank Moments of Overpartitions
Ali H. Al-Saedi, Thomas Morrill, Holly Swisher
Two analogues of the crank function are defined for overpartitions -- the first residual crank and the second residual crank. This suggests an exploration of crank functions define…
Extending a catalog of mock and quantum modular forms to an infinite class
Allison Arnold-Roksandich, Brian Diaz, Erin Ellefsen +1
Utilizing a classification due to Lemke Oliver of eta-quotients which are also theta functions (here called eta-theta functions), Folsom, Garthwaite, Kang, Treneer, and the fourth…
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…
Eta-quotients of Prime or Semiprime Level and Elliptic Curves
Michael Allen, Nicholas Anderson, Asimina Hamakiotes +2
From the Modularity Theorem proven by Wiles, Taylor, et al, we know that all elliptic curves are modular. It has been shown by Martin and Ono exactly which are represented by eta-q…