The zeta-function of Riemann

Abstract

If s is a complex number, with s = σ + it, where σ and t are real, and i²= - 1, the zeta-function of Riemann ζ is defined by the relation

$$ \zeta(s)=\sum\limits_{{n =1}}^{\infty}{{n^{{ - s}}}},\quad\sigma >1 $$

((1))