We prove that if $f(x)=\sum _{k=0}^{n-1}a_{k}x^{k}$ is a polynomial with no cyclotomic factors whose coefficients satisfy $a_{k}$ ≡ 1 mod 2 for 0 ≤ k < n, then ...
P. Turán asked if there exists an absolute constant C such that for every polynomial f ∈ ℤ[x] there exists an irreducible polynomial g ∈ ℤ[x] with deg(g) ≤ deg(f) and L(f — g) ≤ C, where L(·) denotes ...
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