# Elliott-Halberstam conjecture and the Riemann Hypothesis

by flouran
Tags: riemann hypothesis
 P: 64 I was wondering if one of the consequences of the Elliott-Halberstam conjecture would imply the Riemann Hypothesis (RH) or the Generalized Riemann Hypothesis (GRH)? Or at least if there is a connection between the Elliott-Halberstam conjecture and RH or GRH? I ask because the Bombieri-Vinogradov (which is related to the Elliott-Halberstam conjecture) theorem was proven assuming GRH.
 P: 1 Neither of EH or GRH is a consequence of the other. As for Bombieri--Vinogradov, while you can prove it from GRH, it is true unconditionally by using Large Sieve techniques.

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