15 citations · 34 across the 14 of their papers we have counts for
5 papers · 1 filter
Divisibility properties of coefficients of modular functions in genus zero levels
Victoria Iba, Paul Jenkins, Merrill Warnick
We prove divisibility results for the Fourier coefficients of canonical basis elements for the spaces of weakly holomorphic modular forms of weight and levels w…
Congruences for coefficients of level 2 modular functions with poles at 0
Paul Jenkins, Ryan Keck, Eric Moss
We give congruences modulo powers of 2 for the Fourier coefficients of certain level 2 modular functions with poles only at 0, answering a question posed by Andersen and the first…
Zagier duality for level weakly holomorphic modular forms
Paul Jenkins, Grant Molnar
We prove Zagier duality between the Fourier coefficients of canonical bases for spaces of weakly holomorphic modular forms of prime level with with poles on…
Differential operators on polar harmonic Maass forms and elliptic duality
Kathrin Bringmann, Paul Jenkins, Ben Kane
In this paper, we study polar harmonic Maass forms of negative integral weight. Using work of Fay, we construct Poincaré series which span the space of such forms and show that the…
Weakly holomorphic modular forms in prime power levels of genus zero
Paul Jenkins, DJ Thornton
Let be the space of weight , level weakly holomorphic modular forms with poles only at the cusp at . We explicitly construct a canonical basis for $M…