Period functions for vector-valued Maass cusp forms of real weight, with an application to Jacobi Maass cusp forms

Anke Pohl, YoungJu Choie, Roelof Bruggeman

For vector-valued Maass cusp forms for~$S{L}_2(\mathbb{Z})$ with real weight~$k\in \mathbb{R}$ and spectral parameter $s\in \mathbb{C}$, $\mathrm{Re}s\in (0,1)$, $s\not\equiv \pm k/2$…