3 citations · 5 across the 7 of their papers we have counts for
8 papers
Ranks of elliptic curves over of small degree in
Francesco Battistoni, Sandro Bettin, Christophe Delaunay
We study elliptic surfaces over with coefficients of a Weierstrass model being polynomials in with degree at most 2. We derive an explicit expressio…
On the typical rank of elliptic curves over
Francesco Battistoni, Sandro Bettin, Christophe Delaunay
We give upper bounds for the number of rational elliptic surfaces in some families having positive rank, obtaining in particular that these form a subset of density zero. This conf…
Non-isotrivial elliptic surfaces with non-zero average root number
Sandro Bettin, Chantal David, Christophe Delaunay
We consider the problem of finding -parameter families of elliptic curves whose root number does not average to zero as the parameter varies in . We classify all suc…
The Cohen-Lenstra heuristics, moments and -ranks of some groups
Christophe Delaunay, Frédéric Jouhet
This article deals with the coherence of the model given by the Cohen-Lenstra heuristic philosophy for class groups and also for their generalizations to Tate-Shafarevich groups. M…
-Torsion Points In Finite Abelian Groups And Combinatorial Identities
Christophe Delaunay, Frédéric Jouhet
The main aim of this article is to compute all the moments of the number of -torsion elements in some type of nite abelian groups. The averages involved in these moments ar…
Zero-free regions for Dirichlet series (II)
Emmanuel Fricain, Christophe Delaunay, Elie Mosaki +1
In this paper, we continue some work devoted to explicit zero-free discs for a large class of Dirichlet series. In a previous article, such zero-free regions were described using s…