Download PDFOpen PDF in browserAnalysis and Direct Proof of the Riemann HypothesisEasyChair Preprint 1074712 pages•Date: August 20, 2023AbstractThis 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
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