A remark on a recent proof of Lehmer's Conjecture [arXiv:1709.03771]

2018/09/23 by Francesco Amoroso, Amoroso, Francesco
Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1809.10600

openalex publication_date 2018/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Over one year ago, a very long preprint posted on arXiv [arXiv:1709.03771] and HAL announced a proof of Lehmer's Conjecture (and of other related results). Unfortunately, as was remarked by several specialists, this proof contains a (at least one) fatal error. The aim of this very short note is to inform the mathematical community, which could be aware of this.

Citations

• A Proof of the Conjecture of Lehmer and of the Conjecture of Schinzel-Zassenhaus

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