16 citations · 88 across the 64 of their papers we have counts for
4 papers · 2 filters
Regularized inner products and weakly holomorphic Hecke eigenforms
Kathrin Bringmann, Ben Kane
We show that the image of repeated differentiation on weak cusp forms is precisely the subspace which is orthogonal to the space of weakly holomorphic modular forms. This gives a n…
The Bruinier--Funke pairing and the orthogonal complement of unary theta functions
Ben Kane, Siu Hang Man
We describe an algorithm for computing the inner product between a holomorphic modular form and a unary theta function, in order to determine whether the form is orthogonal to unar…
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…
Number-theoretic generalization of the Monster denominator formula
Kathrin Bringmann, Ben Kane, Steffen Löbrich +2
The denominator formula for the Monster Lie algebra is the product expansion for the modular function in terms of the Hecke system of -…