Analysis and Direct Proof of the Riemann Hypothesis

EasyChair Preprint 10747

Abstract

This paper presents a comprehensive proof of the Riemann Hypothesis, one of the most prominent unsolved problems in mathematics. We provide a detailed analysis of the hypothesis, its significance, and the existing theorems that support it. We also establish key properties of the Riemann Zeta Function, including the absence of zeros outside the critical strip and the symmetry between zeros on the critical line. Finally, we present the main result: the proof that all non-trivial zeros of the Riemann Zeta Function lie on the critical line Re(s) = 1/2. Our proof combines rigorous mathematical reasoning and advanced techniques to unveil the fundamental structure of the zeta function and its zeros.

Keyphrases: Riemann, hypothesis, number theory, proof, zeros, zeta function

@booklet{EasyChair:10747,
  author    = {Víctor Blanco Bataller},
  title     = {Analysis and Direct Proof of the Riemann Hypothesis},
  howpublished = {EasyChair Preprint 10747},
  year      = {EasyChair, 2023}}