It is a well-known result that the Riemann hypothesis is equivalent to the estimate $|\pi(x) - Li(x)| \ll x^{1/2+\epsilon}$. The forward implication was proved by von Koch all the way back in 1901. Is there an accessible reference for the reverse implication?
2026-03-26 16:05:16.1774541116
Reference for $|\pi(x) - Li(x)| \ll x^{1/2+\epsilon} \Rightarrow $ RH
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