Institut de Mathématiques de Marseille

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19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2024 · math.NTShow all

6 papers · 2 filters

math.NT2024

Chaining Multiplications in Finite Fields with Chudnovsky-type Algorithms and Tensor Rank of the k-multiplication

Stéphane Ballet, Robert Rolland

We design a class of Chudnovsky-type algorithms multiplying k elements of a finite extension of order n a finite field K. We prove that these algorithms give a tensor decomposition…

math.NT2024

Explicit formulae for the mean value of products of values of Dirichlet $L$ -functions at positive integers

Stéphane Louboutin

Let $m \geq 1$ be a rational integer. We give an explicit formula for the mean value $\frac{2}{ϕ ( f )} χ (- 1) = (- 1)^{m} \sum ∣ L (m, χ) ∣^{2},$ where $χ$ ranges over the $ϕ (f) /2$ Diri…

math.NT2024

An $L^{2}$ -bound for the Barban-Vehov weights

Olivier Ramaré, Sebastian Zuniga Alterman

Let $λ$ the Barban--Vehov weights, defined in $(1)$ . Let $X \geq z_{1} \geq 100$ and $z_{2} = z_{1}^{τ}$ for some $τ > 1$ . We prove that \begin{equation*} \sum_{n\le X}\frac{1}{n}\Bigl(\sum_{\subst…

math.NT2024

An elementary Tauberian proof of the Prime Number Theorem

Philippe Angot

We give a simple Tauberian proof of the Prime Number Theorem using only elementary real analysis. Hence, the analytic continuation of Riemann's zeta function $ζ$ and its non-vanish…

math.NT2024

Trinomials with high differential uniformity

Yves Aubry, Fabien Herbaut, Ali Issa

Comparisons of arithmetic and geometric monodromy groups coupled with the Chebotarev density theorem enable to obtain families of trinomials defined over finite fields of even char…

math.NT2024

Un crible minorant effectif pour les entiers friables

Adrien Mounier

Let $A$ be a finite set of positive integers and $y \geq 1$ . We give an effective lower bound of the cardinality of the set $\{n\in\mathcal{A};\,p|n\Longrightarrow p\leq y…

Chaining Multiplications in Finite Fields with Chudnovsky-type Algorithms and Tensor Rank of the k-multiplication

Explicit formulae for the mean value of products of values of Dirichlet L-functions at positive integers

An L2-bound for the Barban-Vehov weights

An elementary Tauberian proof of the Prime Number Theorem

Trinomials with high differential uniformity

Un crible minorant effectif pour les entiers friables

Explicit formulae for the mean value of products of values of Dirichlet $L$ -functions at positive integers

An $L^{2}$ -bound for the Barban-Vehov weights