Lindelöf hypothesis

The lindelöfsche guess is a 1905 Ernst Leonard Lindelöf established and still unproven assumption about the order of the Riemann zeta function along the " critical line ".

The lindelöfsche conjecture states that for each and. This is the Bachmann -Landau symbol.

So far, only weaker statements of the form could be proved: in 1930, determined by van der Corput and Koksma value could be gradually improved slightly since then, most recently at Huxley.

The lindelöfsche assumption is weaker than the Riemann conjecture: A proof of the Riemann conjecture, however, the lindelöfsche guess would be proven, not vice versa.