4 papers
Harmonic Maass forms associated with CM newforms
Stephan Ehlen, Yingkun Li, Markus Schwagenscheidt
In this paper, we use a regularized theta lifting to construct harmonic Maass forms corresponding to binary theta functions of weight under the -operator. As a result…
Twisted traces of modular functions on hyperbolic -space
Sebastián Herrero, Ãzlem Imamoglu, Anna-Maria von Pippich +1
We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic -space and show that they are essentially given by Fourier coefficients of the $j…
Cycle integrals of meromorphic Hilbert modular forms
Claudia Alfes, Baptiste Depouilly, Paul Kiefer +1
We establish a rationality result for linear combinations of traces of cycle integrals of certain meromorphic Hilbert modular forms. These are meromorphic counterparts to the Hilbe…
Special values of Green's functions on hyperbolic -space
Sebastián Herrero, Ãzlem Imamoglu, Anna-Maria von Pippich +1
Gross, Kohnen and Zagier proved an averaged version of the algebraicity conjecture for special values of higher Green's functions on modular curves. In this work, we study an analo…