On the Least Common Multiple of Shifted Powers
Carlo Sanna
Politecnico di Torino
Department of Mathematical Sciences
Corso Duca degli Abruzzi 24
10129 Torino
Italy
Abstract:
We determine the asymptotic behavior of log lcm(a +
s1, a2 + s2, ...,
an + sn), for a
≥ 2 an integer and (sn)n ≥
1 a periodic sequence in {–1, +1}. We also carry out the
same analysis for (sn)n ≥ 1
a sequence of independent and uniformly distributed random variables in
{–1, +1}.
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Received March 24 2021; revised versions received May 22 2021; June 12 2021.
Published in Journal of Integer Sequences,
June 12 2021.
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