Positive-proportion conjecture for irreducible polynomials in quadratic semigroups
Let S={x2+c1,…,x2+cr}S=\{x^2+c_1,\dots,x^2+c_r\}S={x2+c1,…,x2+cr} for some distinct c1,…,cr∈Qc_1,\dots,c_r\in\mathbb{Q}c1,…,cr∈Q and r≥2r\geq2r≥2. Let MSM_SMS denote the semigroup generated by SSS under composition, and call a subset…
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