16 citations · 88 across the 64 of their papers we have counts for
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On Divisors of Modular Forms
Kathrin Bringmann, Ben Kane, Steffen Löbrich +2
The denominator formula for the Monster Lie algebra is the product expansion for the modular function given in terms of the Hecke system of $\operatorname{SL}_2(\mathbb…
Almost universal ternary sums of polygonal numbers
Anna Haensch, Ben Kane
For a natural number , generalized -gonal numbers are those numbers of the form with . In this paper we establish condition…
Polar harmonic Maass forms and their applications
Kathrin Bringmann, Ben Kane
In this survey, we present recent results of the authors about non-meromorphic modular objects known as polar harmonic Maass forms. These include the computation of Fourier coeffic…
Analogues of the Ramanujan--Mordell Theorem
Shaun Cooper, Ben Kane, Dongxi Ye
The Ramanujan--Mordell Theorem for sums of an even number of squares is extended to other quadratic forms and quadratic polynomials.
Ramanujan and coefficients of meromorphic modular forms
Kathrin Bringmann, Ben Kane
The study of Fourier coefficients of meromorphic modular forms dates back to Ramanujan, who, together with Hardy, studied the reciprocal of the weight 6 Eisenstein series. Ramanuja…
Ramanujan-like formulas for Fourier coefficients of all meromorphic cusp forms
Kathrin Bringmann, Ben Kane
In this paper, we investigate Fourier expansions of meromorphic modular forms. Over the years, a number of special cases of meromorphic modular forms were shown to have Fourier exp…