KnowraWaring's problemLinked fromLinked fromThe 7 pages that link to Waring's problem, each with the reason it gives.All 7Related 6Compared with 1Additive number theoryRelated: It asks how many fixed-power summands suffice to represent all positive integers.Circle methodRelated: The circle method gives asymptotic counts of representations as sums of powers.Lagrange's four-square theoremRelated: The four-square theorem gives the exact answer for squares: four suffice.Hardy–Littlewood circle methodRelated: Its representation counts are a principal setting for the circle method.Vinogradov's theoremRelated: Like Vinogradov's theorem, it uses analytic methods to prove additive representation results.Birch's theoremRelated: Work on additive problems helped motivate circle-method estimates for homogeneous equations.