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math.NT2020★ 20 cited
Irreducibility of random polynomials: general measures
Lior Bary-Soroker, Dimitris Koukoulopoulos, Gady Kozma
Let be a probability measure on that is not a Dirac mass and that has finite support. We prove that if the coefficients of a monic polynomial $f(x)\in\mathbb{Z}[x]…
math.NT2020★ 3 cited
A note on the natural density of product sets
Sandro Bettin, Dimitris Koukoulopoulos, Carlo Sanna
Given two sets of natural numbers and of natural density we prove that their product set $\mathcal{A}\cdot \mathcal{B}:=\{ab:a\in\mathcal{A},\,b\in\…