Randomness of Mobius coefficents and brownian motion: growth of the Mertens function and the Riemann Hypothesis

Giuseppe Mussardo, Andre LeClair

The validity of the Riemann Hypothesis (RH) on the location of the non-trivial zeros of the Riemann $\zeta$-function is directly related to the growth of the Mertens function $M(x) \,=…