Antoine Comeau-Lapointe

collaborators

2 papers

math.NT2022

On the vanishing of twisted $L$ -functions of elliptic curves over rational function fields

Antoine Comeau-Lapointe, Chantal David, Matilde Lalin +1

We investigate in this paper the vanishing at $s = 1$ of the twisted $L$ -functions of elliptic curves $E$ defined over the rational function field $F_{q} (t)$ (where $\mathbb{F…

math.NT2020

One-level density of the family of twists of an elliptic curve over function fields

Antoine Comeau-Lapointe

We fix an elliptic curve $E / F_{q} (t)$ and consider the family ${E \otimes χ_{D}}$ of $E$ twisted by quadratic Dirichlet characters. The one-level density of their $L$ -function…

On the vanishing of twisted L-functions of elliptic curves over rational function fields

One-level density of the family of twists of an elliptic curve over function fields

On the vanishing of twisted $L$ -functions of elliptic curves over rational function fields