3 papers
math.NT2019
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…
math.NT2018
Proceedings Paper for REU Project Involving Counting Eta-Quotients
Allison Arnold-Roksandich, Kevin James, Rodney Keaton
It is known that all modular forms on can be expressed as a rational function in , and . By using a theorem by Gordon, Hughes, and Newman, and calcul…
math.NT2016
Counting Eta-Quotients of Prime Level
Allison Arnold-Roksandich, Kevin James, Rodney Keaton
It is known that all modular forms on SL_2(Z) can be expressed as a rational function in eta(z), eta(2z) and eta(4z). By utilizing known theorems, and calculating the order of vani…