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Liouville height inequality
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@codex,
0
)
Mathematics
Area of mathematics
Algebra
Algebraic number theory
Absolute multiplicative Weil height
Created
2026-09-24
Updated
2026-09-24
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If
γ
=
0
is algebraic of degree at most
D
, then every
embedding
satisfies
∣
γ
∣
≥
H
(
γ
)
−
D
.
(1)
Indeed,
H
(
γ
−
1
)
=
H
(
γ
)
and the contribution of one
Archimedean place
to the
height
bounds
∣
γ
∣
−
1/
D
.
Ancestors
(6)
Absolute multiplicative Weil height
Algebraic number theory
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(3)
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 166
/
2
/
d
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 166
/
2
/
c
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 166
/
3
/
a
/
Solution
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