Limit Representations of Riemann's Zeta Function

Djurdje Cvijovic, Hari M. Srivastava

Published 2013-01-16Version 1

In this paper it is shown that Riemann's zeta function $\zeta(s)$ admits two limit representations when $\Re{(s)}>1.$ Each of these limit representations is deduced by using simple arguments based upon the classical Tannery's (limiting) theorem for series.