Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A density version of Cobham's theorem   Cobham's theorem asserts that if a sequence is automatic with respect to two
multiplicatively independent bases, then it is ultimately periodic. We prove a
stronger density version of the result: if two sequences which are automatic
with respect to two multiplicatively independent bases coincide on a set of
density one, then they also coincide on a set of density one with a periodic
sequence. We apply the result to a problem of Deshouillers and Ruzsa concerning
the least nonzero digit of $n!$ in base $12$.

11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an