For a nontrivial Hecke character $\chi:A_Q^{\times}/Q^{\times}\to S^1$, we know $L_Q(s,\chi)$ is nonzero. Is this true for number field $F$? I know is is holomorphic at $s=1$ by Artin conjecture, but wonders whether it is zero or not.
Thanks.
2026-03-25 21:01:35.1774472495
On the special value of Hecke L function.
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