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# Other statements about the zeros of L-functions

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The \begin{rawhtml}Riemann Hypothesis\end{rawhtml} is the strongest possible statement
about the horizontal distribution of the \begin{rawhtml}nontrivial zeros\end{rawhtml}
of an $L$-function. In this section we collect together various
weaker assertions. Each of these statements arises in a
natural way, usually due to a relationship with the prime numbers.
Examples include
\begin{rawhtml}zeros on\end{rawhtml} or \begin{rawhtml}near\end{rawhtml} the
$\sigma=1$ line,
\begin{rawhtml}zeros on\end{rawhtml} or \begin{rawhtml}near\end{rawhtml}
the critical line,
and \begin{rawhtml}zeros on the real axis\end{rawhtml}.
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Back to the
main index
for The Riemann Hypothesis.
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