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Algebraic number theory
Summary Of: Algebraic number theory
One of the class results in algebraic number theory is that the ideal class group of an algebraic number field...
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mathematics
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number theory
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algebraic structures
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algebraic integers
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ring
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algebraic number field
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extension
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rational numbers
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rings
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fields
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factorization
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ideals
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integers
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unique factorization
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Galois theory
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group cohomology
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group representations
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L-functions
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ring of integers
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prime numbers
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irreducible elements
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Gaussian integers
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ideal class group
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trivial
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unique factorization domain
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prime ideals
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Dedekind domain
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generate
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theorem of Fermat's
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Class field theory
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abelian extension
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Galois extension
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abelian
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Galois group
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usual absolute value
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absolute value
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p-adic absolute values
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Ostrowski's theorem
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equivalence class
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complex numbers
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ring homomorphisms
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image
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complex conjugation
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fundamental theorem of arithmetic
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prime powers
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invertible elements
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units
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unit group
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cyclic group
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Dirichlet's unit theorem
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Galois module
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class number formula
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class number
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Dirichlet's unit theorem
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finitely generated abelian group
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rank
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Artin reciprocity law
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Class number formula
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Ian Stewart
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Cassels, J. W. S.
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Frölich, Albrecht
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MR
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Fröhlich, Albrecht
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Taylor, Martin J.
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Cambridge University Press
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MR
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ISBN 0-521-43834-9
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Lang, Serge
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Graduate Texts in Mathematics
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Springer-Verlag
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MR
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ISBN 0-387-94225-4
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Neukirch, Jürgen
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Springer-Verlag
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MR
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ISBN 978-3-540-65399-8
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Neukirch, Jürgen
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Springer-Verlag
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MR
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ISBN 978-3-540-66671-4
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v
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d
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Number theory
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Analytic number theory
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Geometric number theory
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Computational number theory
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Transcendental number theory
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Numbers
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Natural numbers
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Prime numbers
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Rational numbers
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Irrational numbers
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Algebraic numbers
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Transcendental numbers
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Arithmetic
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Modular arithmetic
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Arithmetic functions
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Quadratic forms
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L-functions
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Diophantine equations
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Diophantine approximation
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Continued fractions
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List of recreational number theory topics
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List of number theory topics
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Category
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Algebraic number theory
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This article is licensed under the
GNU Free Documentation License
. It uses material from the
Wikipedia article "Algebraic number theory"
.