3 problems

Let $N^*(T)$ be the multiplicity-weighted zero count … where $m_\rho$ is the multiplicity of the zero $\rho$. Montgomery's simplicity conjecture. As $T\to\infty$, … Since…

Let $H^{(k)}$ be the $k$-generalized Fibonacci sequence with non-positive indices, and let $\mathcal{Z}(H^{(k)})=\{n\in\mathbb{Z}:H_n^{(k)}=0\}$ denote its zero set. The zero-multi…

Let $\pi_1$ and $\pi_2$ be unitary cuspidal automorphic representations of $\operatorname{GL}_{d_1}(\mathbb{A}_{\mathbb{Q}})$ and $\operatorname{GL}_{d_2}(\mathbb{A}_{\mathbb{Q}})$…