ElliottHalberstam conjecture and the Riemann Hypothesis
I was wondering if one of the consequences of the ElliottHalberstam conjecture would imply the Riemann Hypothesis (RH) or the Generalized Riemann Hypothesis (GRH)?
Or at least if there is a connection between the ElliottHalberstam conjecture and RH or GRH? I ask because the BombieriVinogradov (which is related to the ElliottHalberstam conjecture) theorem was proven assuming GRH. 
Re: ElliottHalberstam conjecture and the Riemann Hypothesis
Neither of EH or GRH is a consequence of the other. As for BombieriVinogradov, while you can prove it from GRH, it is true unconditionally by using Large Sieve techniques.

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