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Tchebotarev density theorem
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(Theorem)
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"Tchebotarev density theorem" is owned by djao.
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(view preamble)
| Other names: |
Chebotarev density theorem |
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Cross-references: conjugate, automorphism, prime, independent, Artin symbol, density, analytic, property, unramified, prime ideals, subset, conjugacy class, Galois group, number fields, Galois extension, finite
There is 1 reference to this entry.
This is version 2 of Tchebotarev density theorem, born on 2002-06-11, modified 2002-06-11.
Object id is 3093, canonical name is TchebotarevDensityTheorem.
Accessed 3925 times total.
Classification:
| AMS MSC: | 11R37 (Number theory :: Algebraic number theory: global fields :: Class field theory) | | | 11R44 (Number theory :: Algebraic number theory: global fields :: Distribution of prime ideals) | | | 11R45 (Number theory :: Algebraic number theory: global fields :: Density theorems) |
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Pending Errata and Addenda
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![$\displaystyle [L/K,\mathfrak{P}] \in C\ $](http://images.planetmath.org:8080/cache/objects/3093/l2h/img6.png "$\displaystyle [L/K,\mathfrak{P}] \in C\ $"){kind=small}
for any prime 
containing 
![$ [L/K,\mathfrak{P}]$](http://images.planetmath.org:8080/cache/objects/3093/l2h/img10.png "$ [L/K,\mathfrak{P}]$"){kind=small}
![$ [L/K,\mathfrak{P}]$](http://images.planetmath.org:8080/cache/objects/3093/l2h/img12.png "$ [L/K,\mathfrak{P}]$"){kind=small}
