On Counting Twists of a Character Appearing in its Associated Weil Representation

K Vishnu Namboothiri

Consider an irreducible, admissible representation $\pi$ of GL(2,$F$) whose restriction to GL(2,$F{)}^{+}$ breaks up as a sum of two irreducible representations ${\pi }_{+}+{\pi }_{-}$. If $\pi =r_{\theta }$,…