The Least Common Multiple of Polynomial Values over Function Fields

Alexei Entin, Sean Landsberg

Cilleruelo conjectured that for an irreducible polynomial $f\in \mathbb{Z}[X]$ of degree $d\ge 2$ one has $$\log\left[\mathrm{lcm}(f(1),f(2),\ldots f(N))\right]\sim(d-1)N\log N$…