Hello,

I've been interested in number theory for several years, and as time goes by, I read more and more articles in which theorems begin with "Assume the Riemann Hypothesis holds." But up to now, I think I've almost never seen any beginning with "Assume the Grand Riemann Hypothesis holds". So, which are those "theorems" that only need the Grand Riemann Hypothesis to become certain results?

allnumber fields, but they do need it for infinitely many number fields. $\endgroup$ – KConrad Jul 28 '11 at 15:27