3 papers
math.NT2019
Incongruences for modular forms and applications to partition functions
Sharon Garthwaite, Marie Jameson
The study of arithmetic properties of coefficients of modular forms has a rich history, including deep results regarding congruences in arithmetic progression…
math.NT2016
Quantum mock modular forms arising from eta-theta functions
Amanda Folsom, Sharon Garthwaite, Soon-Yi Kang +2
In 2013, Lemke Oliver classified all eta-quotients which are theta functions. In this paper, we unify the eta-theta functions by constructing mock modular forms from the eta-theta…
math.NT2009
Zeros of some level 2 Eisenstein series
Sharon Garthwaite, Ling Long, Holly Swisher +1
The zeros of classical Eisenstein series satisfy many intriguing properties. Work of F. Rankin and Swinnerton-Dyer pinpoints their location to a certain arc of the fundamental doma…