Lehmer’s conjecture via model theory

نویسندگان

چکیده

In this short note, we study Lehmer’s conjecture in terms of stability theory. We state Bounded conjecture, and prove that if a certain formula is uniformly stable class structures, then holds. Our proof based on Van der Waerden’s theorem from additive combinatorics.

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ژورنال

عنوان ژورنال: Proceedings of the Japan Academy. Series A, Mathematical sciences

سال: 2022

ISSN: ['0386-2194']

DOI: https://doi.org/10.3792/pjaa.98.010