![](/files/happy5.png)
Lindelöf hypothesis
Conjecture For any
![$ \epsilon>0 $](/files/tex/b1b64614e8f5ba1571715ad1ac108f193e820416.png)
![$$\zeta\left(\frac12 + it\right) \mbox{ is }\mathcal{O}(t^\epsilon).$$](/files/tex/56369f71862d313bd66c5553d9eeb4efeeb95b61.png)
Since can be replaced by a smaller value, we can also write the conjecture as, for any positive
,
Lindelof hypothesis in Wikipedia.
Accordingly Wikipedia this hypothesis is implied by Riemann hypothesis.
Bibliography
* indicates original appearance(s) of problem.