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gptkbp:instanceOf
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gptkb:academic
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gptkbp:field
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gptkb:mathematics
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gptkbp:focusesOn
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gptkb:Diophantine_equations
gptkb:Galois_groups
ideal theory
class field theory
algebraic integers
number fields
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https://www.w3.org/2000/01/rdf-schema#label
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Algebraic Number Theory
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gptkbp:notableBook
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Algebraic Number Theory by Ian Stewart and David Tall
Algebraic Number Theory by A. Frohlich and M.J. Taylor
Algebraic Number Theory by J.W.S. Cassels and A. Fröhlich
A Classical Introduction to Modern Number Theory by Kenneth Ireland and Michael Rosen
Algebraic Number Theory by Jürgen Neukirch
Algebraic Number Theory by Richard A. Mollin
Algebraic Number Theory by Serge Lang
Algebraic Theory of Numbers by Pierre Samuel
Algebraic Number Theory and Fermat's Last Theorem by Ian Stewart and David Tall
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gptkbp:notableIdea
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gptkb:Birch_and_Swinnerton-Dyer_conjecture
gptkb:Mordell–Weil_theorem
gptkb:automorphic_form
gptkb:Taniyama–Shimura_conjecture
gptkb:Dedekind_domain
gptkb:lion
gptkb:standard
gptkb:Chebotarev_density_theorem
gptkb:Fermat's_Last_Theorem
gptkb:Brauer_group
gptkb:Frobenius_automorphism
gptkb:Hasse_principle
gptkb:Kummer_theory
gptkb:Langlands_program
gptkb:Weil_conjectures
gptkb:Weil_group
gptkb:cyclotomic_field
gptkb:Tate_module
gptkb:Dirichlet's_unit_theorem
gptkb:Hilbert_class_field
gptkb:Kronecker–Weber_theorem
gptkb:Shafarevich–Tate_group
gptkb:zeta_function
gptkb:Iwasawa_theory
gptkb:Mordell_conjecture
gptkb:Artin_reciprocity
gptkb:Hilbert's_Theorem_90
gptkb:Selmer_group
gptkb:Hecke_character
gptkb:motivic_L-function
Noetherian ring
Euclidean domain
integral closure
modular group
principal ideal domain
unique factorization domain
valuation
class number
reciprocity law
ring of integers
class group
local-global principle
trace
Galois extension
local field
prime ideal
discriminant
unit group
abelian extension
ideal class group
ramification
global field
Artin symbol
cubic field
fractional ideal
p-adic number
quadratic field
splitting of primes
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gptkbp:notablePerson
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gptkb:Yutaka_Taniyama
gptkb:André_Weil
gptkb:Andrew_Wiles
gptkb:Carl_Friedrich_Gauss
gptkb:David_Hilbert
gptkb:Emil_Artin
gptkb:Helmut_Hasse
gptkb:Jean-Pierre_Serre
gptkb:Kurt_Hensel
gptkb:Leopold_Kronecker
gptkb:Manjul_Bhargava
gptkb:Richard_Dedekind
gptkb:Harold_Davenport
gptkb:Goro_Shimura
gptkb:Igor_Shafarevich
gptkb:Barry_Mazur
gptkb:Jean-Louis_Colliot-Thélène
gptkb:Ken_Ribet
gptkb:Kiran_Kedlaya
gptkb:John_Tate
gptkb:Alexander_Grothendieck
gptkb:Peter_Scholze
gptkb:Pierre_Deligne
gptkb:Serge_Lang
gptkb:Ernst_Kummer
gptkb:Shou-Wu_Zhang
gptkb:Bhargav_Bhatt
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gptkbp:relatedTo
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analytic number theory
arithmetic geometry
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gptkbp:studies
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algebraic structures related to number theory
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gptkbp:bfsParent
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gptkb:Cambridge_Studies_in_Advanced_Mathematics
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gptkbp:bfsLayer
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6
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