Necklace polynomials M_n(x) are strictly increasing when normalized by x^n on [1,∞) and the sequence in n is log-convex precisely for x>8, implying increasing proportions of irreducibles over F_q.
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Analytic Properties of Necklace Polynomials
Necklace polynomials M_n(x) are strictly increasing when normalized by x^n on [1,∞) and the sequence in n is log-convex precisely for x>8, implying increasing proportions of irreducibles over F_q.