Elliott-Halberstam conjecture and the Riemann Hypothesis

by flouran
Tags: riemann hypothesis
flouran is offline
Jan8-11, 09:50 AM
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.
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kcin94 is offline
Feb23-12, 04:52 PM
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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