Nonvanishing of central values of $L$-functions of newforms in $S_2({\Gamma }_0(d{p}^2))$ twisted by quadratic characters

Samuel Le Fourn

We prove that for $d\in \{2,3,5,7,13\}$ and $K$ a quadratic (or rational) field of discriminant $D$ and Dirichlet character $\chi$, if a prime $p$ is large enough compared to $D$,…