Is there a good (preferably comprehensive) list of which conjectures imply the Riemann Hypothesis?

I looked through the wikipedia link, it is also weak on statements equivalent to RH.

The three elementary ones all go back to NICOLAS, see item number 87 at PAPERs which has a pdf and is Jean-Louis Nicolas. Petites valeurs de la fonction d'Euler, J. Number Theory, 17, 1983, 375--388. petitsphi83.pdf

See also PLANAT for a fascinating relationship with Cramer's conjecture. And Is the Euler phi function bounded below?

Next is Robin 1984 . Robin was a student of Nicolas. Evidently I got this article from the library.

Finally LAGARIAS.

These are the ones I would choose to tell students, especially Nicolas. I did a pretty substantial computation of the relevant estimates using the primorial numbers. The relevant column just kept growing, but Planat showed that if it grows forever (the limit is 1) there would be trouble.

Also see any answers I gave with the words Highly Composite Numbers or Colossally Abundant Numbers.

http://en.wikipedia.org/wiki/Divisor_function seems good, also http://en.wikipedia.org/wiki/Highly_composite_number and http://en.wikipedia.org/wiki/Superior_highly_composite_number and http://en.wikipedia.org/wiki/Abundant_number and http://en.wikipedia.org/wiki/Colossally_abundant_number

Planat numbers:

enter image description here