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Archimedean balancing of a principal ideal generator
...
Area of mathematics
Algebra
Algebraic number theory
Dirichlet unit theorem
Logarithmic embedding of number field units
Dirichlet unit lattice
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Words: 40
Every principal ideal
I
of a number field has a generator
α
satisfying
∣
σ
(
α
)
∣
≤
C
K
N
(
I
)
1/
[
K
:
Q
]
(21)
at every archimedean embedding. Multiply an arbitrary generator by a unit so that its logarithmic unit-lattice coordinates lie in a fixed bounded fundamental parallelepiped.
Ancestors
(8)
Dirichlet unit lattice
Logarithmic embedding of number field units
Dirichlet unit theorem
Algebraic number theory
Algebra
Area of mathematics
Mathematics
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