16 citations · 88 across the 64 of their papers we have counts for
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Regularized inner products of meromorphic modular forms and higher Green's functions
Kathrin Bringmann, Ben Kane, Anna-Maria von Pippich
In this paper we study generalizations of quadratic form Poincaré series, which naturally occur as outputs of theta lifts. Integrating against them yields evaluations of higher Gre…
Shintani lifts and fractional derivatives for harmonic weak Maass forms
Kathrin Bringmann, Pavel Guerzhoy, Ben Kane
In this paper, we construct Shintani lifts from integral weight weakly holomorphic modular forms to half-integral weight weakly holomorphic modular forms. Although defined by diffe…
Modular local polynomials
Kathrin Bringmann, Ben Kane
In this paper, we consider modular local polynomials. These functions satisfy modularity while they are locally defined as polynomials outside of an exceptional set. We prove an in…
On cycle integrals of weakly holomorphic modular forms
Kathrin Bringmann, Pavel Guerzhoy, Ben Kane
In this paper, we investigate cycle integrals of weakly holomorphic modular forms. We show that these integrals coincide with the cycle integrals of classical cusp forms. We use th…