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<h1 align=center> The Grand Riemann Hypothesis
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The Grand Riemann Hypothesis is the assertion that 
the nontrivial zeros of all \begin{rawhtml}<a href="../12a">automorphic $L$-functions</a>\end{rawhtml}
lie on the critical line.

The Modified Grand Riemann Hypothesis is the assertion that 
the nontrivial zeros of all \begin{rawhtml}<a href="../12a">automorphic $L$-functions</a>\end{rawhtml}
lie on the critical line or the real line.

It is widely believed that all
\begin{rawhtml}<a href="../53a">global $L$-functions</a>\end{rawhtml} are
\begin{rawhtml}<a href="../12a">automorphic $L$-functions</a>\end{rawhtml}.
Presumably this also coincides with the 
\begin{rawhtml}<a href="../11a">Selberg class</a>\end{rawhtml}.


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Back to the 
<a href="http://www.aimath.org/WWN/rh/"> main index</a> 
for The Riemann Hypothesis.
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