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gptkbp:instanceOf
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gptkb:mathematical_concept
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gptkbp:field
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number theory
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gptkbp:hasApplication
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gptkb:combinatorics
coding theory
computer science
cryptography
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gptkbp:hasConjecture
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gptkb:Fermat's_polygonal_number_theorem
gptkb:Goldbach_conjecture
gptkb:Lagrange's_four-square_theorem
gptkb:Vinogradov's_theorem
gptkb:Erdős–Ginzburg–Ziv_theorem
gptkb:Erdős–Turán_conjecture
gptkb:Waring's_problem
gptkb:Schur's_theorem
gptkb:Freiman's_theorem
gptkb:Cauchy–Davenport_theorem
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gptkbp:includes
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gptkb:Goldbach_conjecture
gptkb:Waring's_problem
partition theory
sumset theory
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gptkbp:notableBook
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Additive Number Theory: Inverse Problems and the Geometry of Sumsets by Melvyn Nathanson
Additive Combinatorics by Terence Tao and Van Vu
Additive Number Theory: The Classical Bases by Melvyn Nathanson
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gptkbp:notableContributor
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gptkb:G._H._Hardy
gptkb:Paul_Erdős
gptkb:John_E._Littlewood
Melvyn Nathanson
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gptkbp:relatedTo
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analytic number theory
additive combinatorics
combinatorial number theory
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gptkbp:studies
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gptkb:Lagrange's_four-square_theorem
gptkb:Vinogradov's_theorem
circle method
sum of cubes
sum of squares
sumsets
sieve methods
additive bases
partition functions
Sidon sets
sum of powers
asymptotic density
sum-free sets
bases of integers
properties of integers under addition
representation functions
representation of numbers as sums of elements from sets
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gptkbp:bfsParent
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gptkb:History_of_the_Theory_of_Numbers
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gptkbp:bfsLayer
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7
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https://www.w3.org/2000/01/rdf-schema#label
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Additive Number Theory
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