4 problems

Buttcane's conjecture. Let $g$ be holomorphic with rapid decay on an open tube domain in $\mathfrak{a}^*_{\mathbb{C}}$ containing $\mathfrak{a}^*$, let $t\in G(\mathbb{R})$, let…

Critical-resonance conjecture. If

Boundary-polynomial conjecture.

Let $\pi$ be the representation under consideration, with central character $\omega_\pi$ of conductor exponent $a(\omega_\pi)$, and let $n_1$ and $m_1$ be the parameters used in th…