Title of article :
The nontrivial zeros of completed zeta function and Riemann hypothesis
Author/Authors :
Yang, X.-J Shandong University of Science and Technology - Qingdao, People's Republic of China
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 α (s) = α (α + ib) = P1n=1 nα(α+ib),
where the real part is Re (s) = α 2 R and the imaginary part is Im(s) = b 2 R with the
real number R, is Re (s) = 1
2 , which is the well-known critical line.
Keywords :
Riemann hypothesis , Riemann's zeta function , Nontrivial zeros , Critical line , Completed zeta function
Journal title :
Scientia Iranica(Transactions A: Civil Engineering)
