Repartition des points rationnels sur la cubique de Segre (2007)
We study the distribution of rational points on Segre's cubic defined as the locus of points x ∈ ℙ5 such that\[ {\displaystyle \{\begin{array}{c}\hfill...
Repartition des points rationnels sur la cubique de Segre (2007)
We study the distribution of rational points on Segre's cubic defined as the locus of points x ∈ ℙ5 such that\[ {\displaystyle \{\begin{array}{c}\hfill...
Propriétés statistiques des entiers friables (2006)
De La Bretèche, Régis, Tenenbaum, Gérald
Let Psi(x,y) (resp. Psi_m(x,y)) denote the number of integers not exceeding x that are y-friable, i.e., have no prime factor exceeding y (resp. and are coprime to m). Evaluating the ratio...
On products of ratios of consecutive integers (2005)
De La Bretèche, Régis, Pomerance, Carl, Tenenbaum, Gérald
Take the product of the numbers (n/(n+1))^{\epsilon_n} for 1
On products of ratios of consecutive integers (2005)
De La Bretèche, Régis, Pomerance, Carl, Tenenbaum, Gérald
Take the product of the numbers (n/(n+1))^{\epsilon_n} for 1
Propriétés statistiques des entiers friables (2005)
De La Bretèche, Régis, Tenenbaum, Gérald
Let Psi(x,y) (resp. Psi_m(x,y)) denote the number of integers not exceeding x that are y-friable, i.e., have no prime factor exceeding y (resp. and are coprime to m). Evaluating the ratio...
On products of ratios of consecutive integers (2005)
De La Bretèche, Régis, Pomerance, Carl, Tenenbaum, Gérald
Take the product of the numbers (n/(n+1))^{\epsilon_n} for 1
Propriétés statistiques des entiers friables (2005)
De La Bretèche, Régis, Tenenbaum, Gérald
Let Psi(x,y) (resp. Psi_m(x,y)) denote the number of integers not exceeding x that are y-friable, i.e., have no prime factor exceeding y (resp. and are coprime to m). Evaluating the ratio...
Propriétés statistiques des entiers friables (2005)
De La Bretèche, Régis, Tenenbaum, Gérald
Let Psi(x,y) (resp. Psi_m(x,y)) denote the number of integers not exceeding x that are y-friable, i.e., have no prime factor exceeding y (resp. and are coprime to m). Evaluating the ratio...
On products of ratios of consecutive integers (2005)
De La Bretèche, Régis, Pomerance, Carl, Tenenbaum, Gérald
Take the product of the numbers (n/(n+1))^{\epsilon_n} for 1
Séries trigonométriques à coefficients arithmétiques (2004)
De La Bretèche, Régis, Tenenbaum, Gérald
By exploiting the recent analytic tool of friable summation, this work describes a new approach to a class of problems in multiplicative number theory and Fourier series theory originated by H....
Séries trigonométriques à coefficients arithmétiques (2004)
De La Bretèche, Régis, Tenenbaum, Gérald
By exploiting the recent analytic tool of friable summation, this work describes a new approach to a class of problems in multiplicative number theory and Fourier series theory originated by H....
Nombre de points de hauteur bornée sur les surfaces de del Pezzo de degré 5 (2002)
We state Manin's conjecture in the particular case of the split del Pezzo's surfaces of degree 5 over $\mathbb {Q}$. We show that, for an open set $U\subset V$, $N\sb {U(\mathbb {Q})}(B)coloneq{\rm...