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Waring's problem

In number theory, Waring's problem asks whether each natural number k has an associated positive integer s such that every natural number is the sum of at most s natural numbers raised to the power k. For example, every natural number is the sum of at most 4 squares, 9 cubes, or 19 fourth powers. Waring's problem was proposed in 1770 by Edward Waring…

Measurement, The number g(k) & The number G(k)

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Relationship with Lagrange's four-square theorem

The number g(k)

The number G(k)

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Waring's problem

Nodes37
Edges36
Triples67
Avg. degree1.95
Density0.054054
Components1

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Waring's problem

Top relations

related to References · 67
Waring's problem → Acta Mathematica, Additive Number Theory, Akad, American Mathematical Monthly, An, Arkhipov, Berlin, Chubarikov, Dover, Ellison, Graduate Texts, Gruyter, Hans Rademacher, Hardy, Has, Hilbert's, Inst, ISBN, Izv, JSTOR

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Important terminology

number displaystyle sum powers every problem integer waring positive waring's theorem theory numbers fourth squares cubes hardy littlewood vaughan proof

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Waring's problemrelated to ReferencesArkhipov0.60section
Waring's problemrelated to ReferencesChubarikov0.60section
Waring's problemrelated to ReferencesKaratsuba0.60section
Waring's problemrelated to ReferencesTrigonometric0.60section
Waring's problemrelated to ReferencesBerlin0.60section
Waring's problemrelated to ReferencesNew-York0.60section
Waring's problemrelated to ReferencesWalter0.60section
Waring's problemrelated to ReferencesGruyter0.60section
Waring's problemrelated to ReferencesTheory0.60section
Waring's problemrelated to ReferencesMoscow0.60section
Waring's problemrelated to ReferencesNauka0.60section
Waring's problemrelated to ReferencesYu0.60section

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