English

Riemann's Last Theorem

General Mathematics 2022-02-14 v2

Abstract

The central idea of this article is to introduce and prove a special form of the zeta function as proof of Riemann's last theorem. The newly proposed zeta function contains two sub functions, namely f1(b,s)f_1(b,s) and f2(b,s)f_2(b,s). The unique property of ζ(s)=f1(b,s)f2(b,s)\zeta(s)=f_1(b,s)-f_2(b,s) is that as tends toward infinity the equality ζ(s)=ζ(1s)\zeta(s)=\zeta(1-s) is transformed into an exponential expression for the zeros of the zeta function. At the limiting point, we simply deduce that the exponential equality is satisfied if and only if R(s)=1/2\mathfrak{R}(s)=1/2. Consequently, we conclude that the zeta function cannot be zero if R(s)1/2\mathfrak{R}(s)\ne 1/2, hence proving Riemann's last theorem.

Keywords

Cite

@article{arxiv.2201.00615,
  title  = {Riemann's Last Theorem},
  author = {Aric BehzadCanaanie},
  journal= {arXiv preprint arXiv:2201.00615},
  year   = {2022}
}

Comments

10 pages (https://www.rslt.me/)

R2 v1 2026-06-24T08:38:33.264Z