Frédéric Ouimet

activity

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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Showing 2019Show all

3 papers · 1 filter

math.PR2019

Discretization of the maximum for the derivatives of a random model of $lo g ∣ ζ ∣$ on the critical line

Louis-Pierre Arguin, Frédéric Ouimet, Christian Webb

In this short note, we study the derivatives of all orders for the random field $X_{T} (h) = p \leq T \sum \frac{Re ( U _{p} p ^{- ih} )}{p ^{1/2}}, h \in [0, 1],$ where $…

math.CA2019★ 3 cited

Complete monotonicity of a ratio of gamma functions and some combinatorial inequalities for multinomial coefficients

Frédéric Ouimet

For $m, n \in N$ , let $0 < α_{i}, β_{j}, λ_{ij} \leq 1$ be such that $\sum_{j = 1}^{n} λ_{ij} = α_{i}$ , $\sum_{i = 1}^{m} λ_{ij} = β_{j}$ , and $\sum_{i = 1}^{m} α_{i} = \sum_{j = 1}^{n} β_{j} \leq 1$ . We…

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…

Discretization of the maximum for the derivatives of a random model of log∣ζ∣ on the critical line

Complete monotonicity of a ratio of gamma functions and some combinatorial inequalities for multinomial coefficients

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

Discretization of the maximum for the derivatives of a random model of $lo g ∣ ζ ∣$ on the critical line