17 citations · 43 across the 14 of their papers we have counts for
15 papers
On Jacobi--Weierstrass mock modular forms
Claudia Alfes-Neumann, Jens Funke, Michael Mertens +1
We construct harmonic weak Maass forms that map to cusp forms of weight with rational coefficients under the -operator. This generalizes work of the first author, Grif…
The Shimura-Shintani correspondence via singular theta lifts and currents
Jonathan Crawford, Jens Funke
We describe the construction and properties of a singular theta lift for the orthogonal group $\SO(2,1)$. We obtain locally harmonic Maass forms in the sense of Bringmann-Kane-Kohn…
The case of an N-gon
Jens Funke, Stephen Kudla
We construct the indefinite theta series attached to N-gons in the symmetric space of an indefinite inner product space of signature (m-2,2) following the suggestions of section C…
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…
Modularity of generating series of winding numbers
Jan H. Bruinier, Jens Funke, Özlem Imamoglu +1
The Shimura correspondence connects modular forms of integral weights and half-integral weights. One of the directions is realized by the Shintani lift, where the inputs are holomo…
Theta integrals and generalized error functions, II
Jens Funke, Stephen Kudla
Theta series for indefinite quadratic lattices were introduced by Zwegers, for signature (m-1,1), Alexandrov, Banerjee, Manschot and Pioline, for signature (m-2,2), and Nazaroglu,…