On Cillerueloā€™s conjecture for the least common multiple of polynomial sequences
On Cillerueloā€™s conjecture for the least common multiple of polynomial sequences
A conjecture due to Cilleruelo states that for an irreducible polynomial f with integer coefficients of degree d\geq 2 , the least common multiple L_f(N) of the sequence f(1), f(2), \dots, f(N) has asymptotic growth \log L_f(N)\sim (d-1)N\log N as N\to \infty . We establish a version of this conjecture ā€¦