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1,147 research outputs found
On the number of linear forms in logarithms
Author
Lamzouri Youness
Publication venue
Publication date
31/07/2007
Field of study
Get PDF
Let
n
n
n
be a positive integer. In this paper we estimate the size of the set of linear forms
b
1
log
β‘
a
1
+
b
2
log
β‘
a
2
+
.
.
.
+
b
n
log
β‘
a
n
b_1\log a_1 + b_2\log a_2+...+b_n\log a_n
b
1
β
lo
g
a
1
β
+
b
2
β
lo
g
a
2
β
+
...
+
b
n
β
lo
g
a
n
β
, where
β£
b
i
β£
β€
B
i
|b_i|\leq B_i
β£
b
i
β
β£
β€
B
i
β
and
1
β€
a
i
β€
A
i
1\leq a_i\leq A_i
1
β€
a
i
β
β€
A
i
β
are integers, as
A
i
,
B
i
β
β
A_i,B_i\to \infty
A
i
β
,
B
i
β
β
β
.Comment: 8 page
arXiv.org e-Print Archive
CiteSeerX
Elsevier - Publisher Connector
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