Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:field |
number theory
|
| gptkbp:hasApplication |
coding theory
computer science cryptography combinatorics |
| gptkbp:hasConjecture |
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 |
| https://www.w3.org/2000/01/rdf-schema#label |
Additive Number Theory
|
| gptkbp:includes |
gptkb:Goldbach_conjecture
gptkb:Waring's_problem partition theory sumset theory |
| gptkbp:notableBook |
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 |
| gptkbp:notableContributor |
gptkb:G._H._Hardy
gptkb:Paul_Erdős gptkb:John_E._Littlewood Melvyn Nathanson |
| gptkbp:relatedTo |
analytic number theory
additive combinatorics combinatorial number theory |
| gptkbp:studies |
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 |
| gptkbp:bfsParent |
gptkb:History_of_the_Theory_of_Numbers
|
| gptkbp:bfsLayer |
7
|