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Dyadic decomposition
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Mathematics
Area of mathematics
Number theory
Analytic number theory
Bilinear sum
Created
2026-09-28
Updated
2026-10-06
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A
dyadic decomposition
partitions
a
positive range into intervals
(
M
,
2
M
]
. It reduces
a
variable-
length
sum
to
O
(
lo
g
N
)
sums
in which every variable
has a
fixed
order of magnitude
.
Ancestors
(6)
Bilinear sum
Analytic number theory
Number theory
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2007
/
iii
/
Paper 30
/
6
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2010
/
iii
/
Paper 25
/
5
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 29
/
4
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2015
/
iii
/
Paper 27
/
4
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 117
/
3
/
a
/
Solution
Rational-phase Type II estimate
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