Mathematics / Matematik

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  • Article
    Lehmer’s Conjecture Via Model Theory
    (Japan Academy, 2022) Göral, Haydar
    In this short note, we study Lehmer's conjecture in terms of stability theory. We state Bounded Lehmer's conjecture, and we prove that if a certain formula is uniformly stable in a class of structures, then Bounded Lehmer's conjecture holds. Our proof is based on Van der Waerden's theorem from additive combinatorics