no code implementations • 9 Mar 2021 • Peter Humphries, Jesse Thorner
Let $\mathfrak{F}_n$ be the set of all cuspidal automorphic representations $\pi$ of $\mathrm{GL}_n$ with unitary central character over a number field $F$.
Number Theory
no code implementations • 2 Mar 2021 • Olivia Beckwith, Di Liu, Jesse Thorner, Alexandru Zaharescu
We prove an analogue of Selberg's zero density estimate for $\zeta(s)$ that holds for any $\mathrm{GL}_2$ $L$-function.
Number Theory
no code implementations • 28 Dec 2020 • Robert J. Lemke Oliver, Jesse Thorner, Asif Zaman
Let $\mathfrak{F}_{k}^{G}(Q)$ be the family of number fields $K$ with absolute discriminant $D_K$ at most $Q$ such that $K/k$ is normal with Galois group isomorphic to $G$.
Number Theory
no code implementations • 2 Oct 2019 • Michael Griffin, Ken Ono, Larry Rolen, Jesse Thorner, Zachary Tripp, Ian Wagner
We investigate Riemann's xi function $\xi(s):=\frac{1}{2}s(s-1)\pi^{-\frac{s}{2}}\Gamma(\frac{s}{2})\zeta(s)$ (here $\zeta(s)$ is the Riemann zeta function).
Number Theory
