4 papers · 1 filter
Magnetic orthogonal modular forms
Claudia Alfes, Paul Kiefer
In this note we show that certain meromorphic orthogonal modular forms are magnetic, i.e.\ their Fourier coefficients satisfy special divisibility criteria. These meromorphic ortho…
Locally and Polar Harmonic Maass Forms for Orthogonal Groups of Signature
Paul Kiefer
We generalize the notions of locally and polar harmonic Maass forms to general orthogonal groups of signature with singularities along real analytic and algebraic cycles.…
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…
Measures, modular forms, and summation formulas of Poisson type
Claudia Alfes, Paul Kiefer, Jan Mazáč
In this article, we show that Fourier eigenmeasures supported on spheres with radii given by a locally finite sequence, which we call -spherical measures, correspond to Fourier…