= Riemann hypothesis implies the Lindelöf hypothesis
{c}
{title2=$\mathrm{RH}\Longrightarrow\mathrm{LH}$}
The <subpower zeta bound to the right of the critical line> gives an arbitrarily small exponent at $1/2+\delta$. The <functional equation> gives exponent $\delta+\varepsilon$ at $1/2-\delta$. The <Phragmén–Lindelöf principle> gives exponent $\delta/2+\varepsilon$ at the midpoint. Letting these fixed positive parameters be arbitrarily small proves the <Lindelöf hypothesis>.
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