The Riemann Hypothesis has been shown to be equivalent to an astounding variety of statements in several different areas of mathematics. Some of those equivalences are nearly trivial. For example, RH is equivalent to the nonvanishing of in the half-plane . Other equivalences appear surprizing and deep. Examples of both kinds are collected below.
The results in the following articles will eventually find their way here:
[ MR 96g:11111] [ MR 98f:11113] [ MR 96a:11085] [ MR 95c:11105] [ MR 94i:58155] [ MR 89j:15029] [ MR 87b:11084]
Back to the main index for The Riemann Hypothesis.