4 citations · 4 across the 3 of their papers we have counts for
5 papers
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…
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…
Newton polygons for a variant of the Kloosterman family
Rebecca Bellovin, Sharon Anne Garthwaite, Ekin Ozman +3
We study the p-adic valuations of roots of L-functions associated with certain families of exponential sums of Laurent polynomials in n variables over a finite field. The families…
Zeros of weakly holomorphic modular forms of levels 2 and 3
Sharon Anne Garthwaite, Paul Jenkins
Let be the space of weakly holomorphic modular forms for that are holomorphic at all cusps except possibly at . We study a canonical basis for $M_k…
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…