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-   -   Elliott-Halberstam conjecture and the Riemann Hypothesis (http://www.physicsforums.com/showthread.php?t=461840)

 flouran Jan8-11 10:50 AM

Elliott-Halberstam conjecture and the Riemann Hypothesis

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.

 kcin94 Feb23-12 05:52 PM

Re: Elliott-Halberstam conjecture and the Riemann Hypothesis

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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