stalex444/mahler-measure-minima
For each degree d in {2, 3, 4}, the polynomial x^d - x - 1 attains the minimal Mahler measure among monic irreducible integer polynomials of degree d with Mahler measure above one, and the three minimal values are exactly the golden ratio (M^2 = M + 1), the plastic ratio (M^3 = M + 1), and the root of x^4 - x^3 - 1 above one (M^4 = M^3 + 1); by Siegel's classical theorem (1944, cited as background, not formalized here) the latter two are the smallest and second-smallest Pisot numbers. Classically the degree-4 minimizer is not itself a Pisot polynomial, yet its measure lands back on the Pisot…
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