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# The vertical distribution of zeros of $L$-functions

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The [\begin{rawhtml}Riemann Hypothesis}{55} is an assertion about the
horizontal distribution of zeros of \begin{rawhtml}$L$-functions\end{rawhtml}.
The question of the vertical distribution of the zeros
may be even more subtle. Questions of interest include
the neighbor spacing of zeros,
the very large and very small
gaps between zeros,
correlations among zeros, etc.
The current view is that Random Matrix Theory provides
the description of these and many other properties
of $L$-functions and their zeros. This is discussed
on the web site
\linkto{$L$-functions and Random Matrix Theory\end{rawhtml}].
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Back to the
main index
for The Riemann Hypothesis.
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