Riemann's hypothesis via Robin's Theorem

2024/01/15 by Dmitri Martila, Martila, Dmitri, S. Groote +1
Mathematics · #11M06 #11M26 #Analytic Number Theory Research #FOS: Mathematics #History and Theory of Mathematics #Mathematics and Applications #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2401.07635

openalex publication_date 2024/01/15 · openalex created_date 2024/01/19 · openalex updated_date 2026/07/28

Abstract

As essential condition for the validy of Robin's Theorem as a precondition for the proof of the Riemann hypothesis, we show that the minimum of the function F=\rm e^γ ln(ln n)-σ(n)/n is found to be positive. Therefore, F>0 holds for any n>5040.

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