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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:hasSubfield
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number theory
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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:notableAchievement
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gptkb:Mordell–Weil_theorem
gptkb:Taniyama–Shimura_conjecture
gptkb:Fermat's_Last_Theorem
gptkb:Artin_reciprocity_law
gptkb:Dirichlet's_unit_theorem
gptkb:Kronecker–Weber_theorem
gptkb:Riemann_hypothesis_for_function_fields
Class number formula
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gptkbp:notablePerson
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gptkb:Yutaka_Taniyama
gptkb:André_Weil
gptkb:Carl_Friedrich_Gauss
gptkb:Emil_Artin
gptkb:Helmut_Hasse
gptkb:Kurt_Hensel
gptkb:Richard_Dedekind
gptkb:Harold_Davenport
gptkb:Goro_Shimura
gptkb:John_Tate
gptkb:Alexander_Grothendieck
gptkb:Pierre_Deligne
gptkb:Ernst_Kummer
gptkb:Klaus_Heegner
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gptkbp:relatedConcept
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gptkb:Birch_and_Swinnerton-Dyer_conjecture
gptkb:abc_conjecture
gptkb:Kronecker's_Jugendtraum
gptkb:Artin_L-function
gptkb:Chebotarev_density_theorem
gptkb:Brauer_group
gptkb:Dedekind_zeta_function
gptkb:Hasse–Minkowski_theorem
gptkb:Hasse_principle
gptkb:Langlands_program
gptkb:Serre's_conjecture
gptkb:Weil_conjectures
gptkb:Weil_group
gptkb:algebraic_K-theory
gptkb:modular_curves
gptkb:Tate–Shafarevich_group
gptkb:Tate_module
gptkb:Hilbert_class_field
gptkb:Mumford–Tate_group
gptkb:Fontaine–Mazur_conjecture
gptkb:Iwasawa_theory
gptkb:Shimura_varieties
gptkb:Mazur's_torsion_theorem
gptkb:Sato–Tate_conjecture
gptkb:Dedekind_domains
gptkb:Drinfeld_modules
gptkb:Mordell–Weil_group
gptkb:Selmer_group
gptkb:Stickelberger's_theorem
gptkb:Tamagawa_number
gptkb:quadratic_fields
gptkb:Lefschetz_fixed-point_theorem
gptkb:Faltings's_theorem
gptkb:Hodge_structure
Hecke algebras
modular forms
L-functions
Weil pairing
arithmetic geometry
automorphic forms
class field theory
complex multiplication
elliptic curves
p-adic numbers
local fields
algebraic integers
zeta functions
cyclotomic fields
Galois representations
abelian extensions
local-global principle
motives
motivic cohomology
prime ideals
valuation theory
global fields
reciprocity laws
cubic fields
unit group
class groups
ideal class group
ramification
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gptkbp:studies
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gptkb:Diophantine_equations
gptkb:Galois_groups
ideal theory
number fields
algebraic structures related to algebraic integers
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gptkbp:uses
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gptkb:algebraic_geometry
field theory
group theory
class field theory
module theory
ring theory
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gptkbp:bfsParent
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gptkb:lion
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gptkbp:bfsLayer
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4
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