BEHAVIOUR OF |ζ(s)/ζ(1−s)| RATIO OF THE RIEMANN ZETA FUNCTION; RIEMANN HYPOTHESIS

Abstract: Nontrivial zeros of zeta according Riemann are located in critical line σ = 1/2 (Riemann Hypothesis). Current work aspires to prove this hypothesis using the functional equation defined for the analytic continuation and expansion of zeta series.This article discusses a proof of the Riemann hypothesis using the functional definitionrelation of the function ζ(s). The article was originally submitted in May 2025 to the Journal of AMS. The response after about 10 days was automated and rejected the article without giving further clarification on the reasons for rejection. When the question about the reason for rejection was repeated to the J-AMS Editorial Board, no response was sent. The article was resubmitted to the LMS in April 2026. After about 20 days the response was also negative, recommending that the article should be examined by qualified mathematicians who are familiar with the subject related to the Riemann ζ(s) function. For this reason, addressing the community, I would appreciate any contribution from qualified - professional mathematicians related to the subject in question, so as todetermine whether the proof procedure of the article is correct or contains any errors, with the aim of revisiting and correcting it. With respect to the CommunityThanks in advanceDr. Napoleon V. Stefanopoulos