# Riemann Hypothesis

## Lindelöf hypothesis ★★

Author(s): Lindelöf

\begin{conjecture} For any $\epsilon>0$ $$\zeta\left(\frac12 + it\right) \mbox{ is }\mathcal{O}(t^\epsilon).$$

Since $\epsilon$ can be replaced by a smaller value, we can also write the conjecture as, for any positive $\epsilon$, $$\zeta\left(\frac12 + it\right) \mbox{ is }o(t^\varepsilon).$$ \end{conjecture}

Keywords: Riemann Hypothesis; zeta