@article{36701d07afa34000b0022da69213a5cf,
title = "On Cilleruelo's conjecture for the least common multiple of polynomial sequences",
abstract = "A conjecture due to Cilleruelo states that for an irreducible polynomial f with integer coefficients of degree d ≥ 2, the least common multiple Lf(N) of the sequence f(1), f(2),..., f(N) has asymptotic growth log Lf(N) ∼ (d − 1)N log N as N → ∞. We establish a version of this conjecture for almost all shifts of a fixed polynomial, the range of N depending on the range of shifts.",
keywords = "Irreducible polynomial, Least common multiple, Primes",
author = "Ze{\'e}v Rudnick and Sa'ar Zehavi",
note = "Publisher Copyright: {\textcopyright} 2020 Real Sociedad Matem{\'a}tica Espa{\~n}ola Published by EMS Press",
year = "2021",
doi = "10.4171/rmi/1234",
language = "אנגלית",
volume = "37",
pages = "1441--1458",
journal = "Revista Matematica Iberoamericana",
issn = "0213-2230",
publisher = "Universidad Autonoma de Madrid",
number = "4",
}