103 citations · 478 across the 40 of their papers we have counts for
47 papers
Conditional Upper Bounds for Large Deviations and Moments of the Riemann Zeta Function
Louis-Pierre Arguin, Emma Bailey, Asher Roberts
Assuming the Riemann Hypothesis, we show that for $$ \frac{1}{T}\text{meas}\Big\{t\in [T,2T]:|ζ(1/2+{\rm i} t)|>(\log T)^k\Big\}\leq C_k \frac{(\log T)^{-k^2}}{\sqrt{\log\log…
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 off the critical line, we prove an unconditional lower bound on the critical line for real large deviatio…
On the Fourier coefficients of critical Gaussian multiplicative chaos
Louis-Pierre Arguin, Jad Hamdan
We continue the study of the Fourier coefficients of Gaussian multiplicative chaos (GMC) recently initiated by Garban and Vargas. We show that if are the Fourie…
Upper Bounds on Large Deviations of Dirichlet -functions in the -aspect
Louis-Pierre Arguin, Nathan Creighton
We prove a result on the large deviations of the central values of even primitive Dirichlet -functions with a given modulus. For with , we show that \…
The Fyodorov--Hiary--Keating Conjecture on Mesoscopic Intervals
Louis-Pierre Arguin, Jad Hamdan
We derive precise upper bounds for the maximum of the Riemann zeta function on a typical short interval of the critical line. We show that for fixed , large , and $y…
Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem
Louis-Pierre Arguin, Emma Bailey
Let and . We prove that, for any and as , $\frac{1}{T}\text{meas}\big\{t\in [T,2T]: \log|ζ(σ+\rm{i} τ)|>…