<br $\rmWe\,\,define\,\,a\,\,function\,\,{\mathcal{O}(k)}\,\,similar\,\,to\,\,the\,\,Riemann\,\,Zeta\,\,function\,\,\zeta(s)$ $$\mathcal{O(k)}=\displaystyle\lim_{n\to+\infty}\sum_{\tau=2}^n\frac1{\tau^{k}}\,\,\,\,\,\,\,\,\,\,\,\forall\,s\in\mathbb{...