Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Cilleruelo'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 for almost all shifts of a fixed polynomial, the range of $N$
depending on the range of shifts.

19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph