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Vanishing properties of Fourier coefficients of holomorphic -quotients
Kathrin Bringmann, Guoniu Han, Bernhard Heim +1
In this paper, we study vanishing of Fourier coefficients of holomorphic -quotients. We investigate examples of two different types: the first one involves integral weight CM ne…
Generalized -functions related to the Riemann zeta function
Kathrin Bringmann, Ben Kane, Srimathi Varadharajan
In this paper, we construct generalized -functions associated to meromorphic modular forms of weight for the theta group with a single simple pole in the fundamental d…
Generalized L-functions for meromorphic modular forms and their relation to the Riemann zeta function
Kathrin Bringmann, Ben Kane
In this paper, we construct a family of generalized -functions, one for each point in the upper half-plane. We prove that as approaches , these generalized -…
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…
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…