Effective nonvanishing of canonical Hecke $L$-functions
Effective nonvanishing of canonical Hecke $L$-functions
Motivated by work of Gross, Rohrlich, and more recently Kim, Masri, and Yang, we investigate the nonvanishing of central values of $L$-functions of âcanonicalâ weight $2k-1$ Hecke characters for $\mathbb {Q}(\sqrt {-p})$, where $3 < p \equiv 3 \pmod 4$ is prime. Using the work of Rodriguez-Villegas and Zagier, we …