4 citations · 4 across the 4 of their papers we have counts for
6 papers
The Fourier-Jacobi expansion of the singular theta lift
Eric Hofmann
Recently, Funke and Hofmann constructed a singular theta lift of Borcherds type for the dual reductive pair , , the input functions of which are har…
The construction of Green currents and singular theta lifts for unitary groups
Jens Funke, Eric Hofmann
With applications in the Kudla program in mind we employ singular theta lifts for the reductive dual pair to construct two different kinds of Green forms for…
Local Borcherds Products for Unitary Groups
Eric Hofmann
For a discrete subgroup of an indefinite unitary group , , consider the attached modular variety. Using local Borcherds products, we study Heegner divisors in th…
On Products of Fourier Coefficients of Cusp Forms
Eric Hofmann, Winfried Kohnen
The purpose of this paper is to study products of Fourier coefficients of an elliptic cusp form, for a fixed positive integer , concerning both non-v…
Borcherds Products for U(1,1)
Eric Hofmann
The Borcherds lift for indefinite unitary groups, previously constructed by the author, is examined here in greater detail for the special case of the group U(1,1). The inputs for…
Borcherds Products on Unitary Groups
Eric Hofmann
We provide a construction of the multiplicative Borcherds lift for unitary groups U(1,m), which takes weakly holomorphic elliptic modular forms and lifts them to meromorphic automo…