Lindelöf's hypothesis is true and Riemann's one is not

2007/12/30 by Lev Aizenberg, Aizenberg, Lev
Computer Science · Mathematics · Physics and Astronomy · #30A05 #Complex Variables (math.CV) #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematical and Theoretical Analysis #Number Theory (math.NT) #Quantum Mechanics and Applications #math.CV #math.NT #msc:30A05

paper · pdf · doi:10.48550/arxiv.0801.0114

The paper is withdrawn by the author

openalex publication_date 2007/12/30 · arxiv created 2008/01/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an elementary, short and simple proof of the validity of the Lindelöf hypothesis about the Riemann zeta-function. The obtained estimate and classical results by Bohr-Landau and Littlewood disprove Riemann's hypothesis.

Related

• On some reasons for doubting the Riemann hypothesis
• Proof of the strong Linderlof hypothesis
• The Lindelof Hypothesis for almost all Hurwitz's Zeta-Functions holds True
• A novel approach to the Lindelöf hypothesis
• A proof of Lindelöf's hypothesis