Nontrivial Effective Lower Bounds for the Least Common
Multiple of a
Laboratoire de Mathématiques Appliquées
Faculté des Sciences Exactes
Université de Bejaia
This paper is devoted to establish nontrivial effective lower bounds
for the least common multiple of consecutive terms of a sequence
whose general term has the form
= r(qn − 1)/(q − 1)
+ u0, where r, q and u0
integers satisfying some specific conditions. This can be considered
as a q-analog of the lower bounds already obtained by the author
(in 2005) and by Hong and Feng (in 2006) for arithmetic progressions.
Full version: pdf,
Received September 21 2020; revised version received February 17 2021.
Published in Journal of Integer Sequences,
February 17 2021.
Journal of Integer Sequences home page