Abstract
Based on the completed zeta function, this paper addresses that the real part of every non-trivial zero of the Riemann's zeta function zeta (s) = zeta (sigma + ib) = Sigma(infinity)(n=1) n(-(sigma + ib)), where the real part is Re (s) = sigma is an element of R and the imaginary part is Im (s) = b is an element of R with the real number R, is Re (s) = 1/2, which is the well-known critical line. (C) 2019 Sharif University of Technology. All rights reserved.