Lehmer’s Conjecture Via Model Theory
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Authors
Göral, Haydar
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Open Access Color
GOLD
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No
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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
Description
Keywords
Lehmer's conjecture, Mahler measure, Model theory
Fields of Science
0101 mathematics, 01 natural sciences
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N/A
Volume
98
Issue
7
Start Page
52
End Page
55
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