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research
The least common multiple of a sequence of products of linear polynomials
Authors
A. Selberg
B. Farhi
+11 more
B. Farhi
D. Hanson
Guoyou Qian
H. Davenport
M. Nair
P. Bateman
P. L. Chebyshev
Qianrong Tan
S. Hong
S. Hong
Shaofang Hong
Publication date
27 December 2011
Publisher
'Springer Science and Business Media LLC'
Doi
Cite
View
on
arXiv
Abstract
Let
f
(
x
)
f(x)
f
(
x
)
be the product of several linear polynomials with integer coefficients. In this paper, we obtain the estimate:
log
l
c
m
(
f
(
1
)
,
.
.
.
,
f
(
n
)
)
∼
A
n
\log {\rm lcm}(f(1), ..., f(n))\sim An
lo
g
lcm
(
f
(
1
)
,
...
,
f
(
n
))
∼
A
n
as
n
→
∞
n\rightarrow\infty
n
→
∞
, where
A
A
A
is a constant depending on
f
f
f
.Comment: To appear in Acta Mathematica Hungaric
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info:doi/10.1007%2Fs10474-011-...
Last time updated on 10/12/2019