### Lehmer’s conjecture and the Fuglede-Kadison determinant

Lehmer’s conjecture is one of the most striking open problems in number theory. It roughly postulates that the complex roots \(a\) with \(|a| > 1\) of a polynomial with integral coefficients cannot simultaneously be close to the unit circle (unless all non-zero roots lie on the unit circle). More precisely, the Mahler measure of a … Continue reading "Lehmer’s conjecture and the Fuglede-Kadison determinant"

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