Solution de l'Hypothèse de Riemann

2017/03/15 by Abdelmajid Ben Hadj Salem, Salem, Abdelmajid Ben Hadj
Mathematics · #11-XX(Primary) #11M41 (Secondary) #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #History and Theory of Mathematics

paper · pdf · doi:10.48550/arxiv.1703.05319

openalex publication_date 2017/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In 1859, Riemann had announced the following conjecture : the nontrivial roots (zeros) s=α+iβ of the zeta function, defined by: ζ(s) = ∑_n=1^+∞(1)/(n^s), for \Re(s)gt;1 have real part α= (1)/(2). We give a proof that α= (1)/(2) using an equivalent statement of Riemann Hypothesis.

Related

• Proof of the Riemann Hypothesis
• A note on the possibility of proving the Riemann hypothesis
• The Riemann Hypothesis
• A disproof of the Riemann hypothesis on zeros of ζ-function
• The Riemann Hypothesis is false