Ernst Lindelöf presented in 1908 a
conjecture known as Lindelöf hypothesis which concerns
the order of the Riemann zeta function on the
“critical line” . Up to now (2015), this
hypothesis has not been proved. It is weaker than the Riemann hypothesis such that this latter implies it but not conversely.
Lindelöf hypothesis. for every when .
Here is the Landau big ordo notation.
- 1 Ernst Lindelöf: “Quelques remarques sur la croissance de la fonction ”. –Bull. Sci. Math. 32 (1908).