Abstract
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.
Citation
Haydar Göral. "Lehmer’s conjecture via model theory." Proc. Japan Acad. Ser. A Math. Sci. 98 (7) 52 - 55, July 2022. https://doi.org/10.3792/pjaa.98.010
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