Frédéric Ouimet

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20152026

most citedAsymptotic properties of Dirichlet kernel density estimators

26 citations · 305 across the 66 of their papers we have counts for

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math.NT2026

Poisson-Dirichlet statistics for the log-modulus of the Riemann zeta function on expanding intervals near the critical line

Frédéric Ouimet

For $T > 0$ large, let $τ$ be uniformly distributed on $[T, 2 T]$ and let $σ = σ (T)$ be a deterministic real part approaching $1/2$ from the right. For the Riemann zeta function $ζ$ ,…

math.NT2019★ 24 cited

Moments of the Riemann zeta function on short intervals of the critical line

Louis-Pierre Arguin, Frédéric Ouimet, Maksym Radziwiłł

We show that as $T \to \infty$ , for all $t \in [T, 2 T]$ outside of a set of measure $o (T)$ , $$ \int_{-(\log T)^θ}^{(\log T)^θ} |ζ(\tfrac 12 + \mathrm{i} t + \mathrm{i} h)|^β…