I wanted to prepare a presentation for the students I tutor on the Clay Millennium problems.
This is directed at the Riemann Hypothesis and the Generalized Riemann Hypothesis.
The Wikipedia article is good at showing how many conjectures be come true if RH or GRH is proven to be true; i.e. GRH => something.
What am looking for is list of possible solution paths where: If something is true, then the GRH (or the RH) is true; i.e. Conjecture X => GRH.
And I am looking the third list of possible solution paths where: Something is equivalent to GRH (or the RH); i.e. Conjecture X is true IFF GRH is true.
The Wikipedia article is good on list 1 (GRH implies Conjecture X) and 3 (GRH equivalent to Conjecture X), but not for list 2:
If Conjecture X is true, then the GRH (or RH) is true; i.e. Conjecture X implies GRH.
I am looking for references to fill out this second list for my presentation.