Hilbert's twelfth problem
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Abelian extension
Siegel zero
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List of algebraic number theory topics
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Dedekind zeta function
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Takagi existence theorem
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Kronecker–Weber theorem
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Hilbert–Speiser theorem
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Local class field theory
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Kummer theory
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Complex multiplication
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Chebotarev density theorem
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Birch and Swinnerton-Dyer conjecture
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List of abstract algebra topics
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Gaussian rational
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Totally real number field
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Group cohomology
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Class field theory
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List of unsolved problems in mathematics
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Algebraic number theory
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Root of unity
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Generalized Riemann hypothesis
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Ideal class group
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Emmy Noether
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Abelian
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Niels Henrik Abel
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Field extension
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Field (mathematics)
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Cyclic extension
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Abelian extensions
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