The Lindelof Hypothesis for almost all Hurwitz's Zeta-Functions holds True

TL;DR

This paper proves that the Lindelof Hypothesis holds for almost all Hurwitz's Zeta-Functions using probabilistic methods related to the quasi-law of the iterated logarithm.

Contribution

It introduces a novel probabilistic approach to establish the Lindelof Hypothesis for a broad class of Hurwitz's Zeta-Functions.

Findings

Lindelof Hypothesis holds for almost all Hurwitz's Zeta-Functions

Probabilistic methods can be effectively applied in analytic number theory

The quasi-law of the iterated logarithm underpins the proof

Abstract

By Probability theory, that is, by a kind of quasi-law of the iterated logarithm, we prove the title claim.