Nathan Creighton

collaborators

2 papers

math.NT2026

Lower bounds for the large deviations and moments of the Riemann zeta function on the critical line

Louis-Pierre Arguin, Nathan Creighton

Building on work in \cite{AB24} on the Riemann zeta function at height $T$ off the critical line, we prove an unconditional lower bound on the critical line for real large deviatio…

math.NT2024

Upper Bounds on Large Deviations of Dirichlet $L$ -functions in the $q$ -aspect

Louis-Pierre Arguin, Nathan Creighton

We prove a result on the large deviations of the central values of even primitive Dirichlet $L$ -functions with a given modulus. For $V \sim α lo g lo g q$ with $0 < α < 1$ , we show that \…

Lower bounds for the large deviations and moments of the Riemann zeta function on the critical line

Upper Bounds on Large Deviations of Dirichlet L-functions in the q-aspect

Upper Bounds on Large Deviations of Dirichlet $L$ -functions in the $q$ -aspect