IntroductionThe Riemann zeta function is widely known:\[\zeta(s)=\sum_{n=1}^{\infty}\frac{1}{n^s}.\]It is widely known mainly because of the celebrated hypothesis byRiemann that remains unsolved after more than a century's attempts bymathematicians and 150 million attempts by computers:Riemann Hypothesis: The non-trivial zeros of \(\zeta(s)\) lie on the line \(\Re(s)=\frac{1}{2}\).People are told by pop-science how important and mysterious thishypothesis is. Or how disastrous if this would be so...