Chantal David

collaborators

3 papers

math.NT2026

Average analytic rank for the $L$ -functions of the elliptic curves $y^{2} = x^{3} - d x$

Chantal David, Lucile Devin, Alessandro Fazzari +1

We study the average analytic rank in the family of $L$ -functions $L (s, E_{d})$ associated with the elliptic curves $E_{d} : y^{2} = x^{3} - d x$ , as $d$ varies over fourth-power-free odd integ…

math.NT2025

One-level densities in families of GrÃ¶ssencharakters associated to CM elliptic curves

Chantal David, Lucile Devin, Ezra Waxman

We study the low-lying zeros of a family of $L$ -functions attached to the CM elliptic curve $E_{d} : y^{2} = x^{3} - d x$ , for each odd and square-free integer $d$ . Specifically, upon…

math.NT2025

Nonvanishing of $L$ --functions associated to fixed order characters over function fields

Chantal David, Alexandra Florea, Matilde Lalin

We show that a positive proportion of the values $L (1/2, I ¨ _{c})$ are non-zero, where $I ¨ _{c}$ is the $ℓ^{th}$ residue symbol for $ℓ \geq 3$ over $F_{q} [t]$ , when av…

Average analytic rank for the L-functions of the elliptic curves y2=x3−dx

One-level densities in families of GrÃ¶ssencharakters associated to CM elliptic curves

Nonvanishing of L--functions associated to fixed order characters over function fields

Average analytic rank for the $L$ -functions of the elliptic curves $y^{2} = x^{3} - d x$

Nonvanishing of $L$ --functions associated to fixed order characters over function fields