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 ${\mathbb{F}}_q(t)$ (where $\mathbb{F…