Riemann Zeta-Function

Def Riemann Zeta-Function The (real) Riemann zeta-function is defined as$J(s)={\sum }_{n=1}^{\infty }\frac{1}{n^s}$where $s\in \text{C}$ with real part greater than $1$.

Prop The radius of convergence of the series for the Riemann zeta-function is $s>1$.