Simultaneous nonvanishing of Dirichlet $L$-functions in Galois orbits

Hung M. Bui, Alexandra Florea, Hieu T. Ngo

Under the Generalized Riemann Hypothesis, we prove that given any two distinct imprimitive Dirichlet characters ${\eta }_1,{\eta }_2$ modulo $q=p^k$, a positive proportion of characters $\chi$ m…