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I assume a number of results have been proven conditionally on the Riemann hypothesis, of course in nubber number theory and maybe in other fields. What are the most relevant you know?

It would also be nice to include consequences of the generalized Riemann hypothesis (but specify which one is assumed).

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Consequences of the Riemann hypothesis

I assume a number of results have been proven conditionally on the Riemann hypothesis, of course in nubber theory and maybe in other fields. What are the most relevant you know?

It would also be nice to include consequences of the generalized Riemann hypothesis (but specify which one is assumed).