3 papers
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.NT2017
Restrictions of Eisenstein series and Rankin-Selberg convolution
Rodney Keaton, Ameya Pitale
In a 2005 paper, Yang constructed families of Hilbert Eisenstein series, which when restricted to the diagonal are conjectured to span the underlying space of elliptic modular form…
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…