= Nonvanishing of Dirichlet L-functions on the line one
{title2=$L(1+it,\chi)\ne0$}
For a nonprincipal <Dirichlet character>, the line is zero-free. <Euler product positivity for L-function nonvanishing> proves this for nonreal characters at every height, and for all characters at nonzero height, where a possibly principal squared-character factor has no <pole>. The point of height zero is the <nonvanishing of nonprincipal Dirichlet L-functions at one>. A principal L-function has a <pole> at one, and no zeros at the other points of this line.
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