E. Saias

activity

20032025

collaborators

8 papers

math.CO2025

Etude du graphe divisoriel 6

Eric Saias

The divisor graph is the non oriented graph whose vertices are the positive integers, and edges are the {a,b} such that a divides b or b divides a. Let F(x,y) be the maximum number…

math.NT2021

Etude du graphe divisoriel 5

Eric Saias

The divisor graph is the non oriented graph whose vertices are the positive integers, and edges are the {a,b} such that a divides b. Let P(n) be the largest prime factor of n, S(x,…

math.CV2021

Un exemple de somme de série de vecteurs propres à valeurs propres de module un, non récurrente

Pierre Mazet, Eric Saias

Let $ζ^{*} (s) = \sum_{n = 1}^{+ \infty} (- 1)^{n} / n^{s}$ and $τ$ the operator defined on the Frechet space of holomorphic functions in ${s \in C : 1/2 < R e s < 1}$ by $τf(s)= f(s-2iπ/\l…

math.FA2021

Sur le spectre des opérateurs rigides

Pierre Mazet, Eric Saias

A bounded operator $u$ on $X$ is called rigid when there is an increasing sequence of positive integers $(n_{k})_{k \geq 1}$ , such that for every $x$ in $X$ we have $\lim_{k \rightarr…

math.NT2018

Etude du graphe divisoriel 4

Pierre Mazet, Eric Saias

We show that there is a permutation $f$ of the positive integers such that for $n \geq 2,$ l.c.m. $(f (n), f (n + 1)) \leq c n (lo g n)^{2},$ where $c$ is a positive constant. It improves p…

math.NT2015

Fonctions complètement multiplicatives de somme nulle

Jean-Pierre Kahane, Eric Saias

Completely multiplicative functions whose sum is zero ( $C M O$ ).The paper deals with $C M O$ , meaning completely multiplicative ( $C M$ ) functions $f$ such that $f (1) = 1$ and $\sum\limits…