KnowraExponential sumLinked fromLinked fromThe 9 pages that link to Exponential sum, each with the reason it gives.All 9Broader topic 1Related 6Narrower topic 2Analytic number theoryRelated: Cancellation in exponential sums yields bounds for many arithmetic counting problems.Circle methodNarrower topic: Generating functions for additive problems often reduce to exponential sums on the circle.Hardy–Littlewood circle methodRelated: Bounds for oscillation in these sums are the central tool for controlling minor arcs.Summation by partsRelated: Partial summation transfers weights away from oscillatory sums.Vinogradov's theoremRelated: Prime exponential sums are the central quantities estimated in Vinogradov's proof.Equidistribution theoremNarrower topic: The theorem is proved by showing particular exponential sums become small.Birch's theoremBroader topic: The circle-method estimates for the forms' exponential sums produce the main term and error.Chevalley–Warning theoremRelated: Character-sum methods extend the study of polynomial solution counts beyond elementary divisibility.Friedlander–Iwaniec theoremRelated: Exponential-sum estimates supply cancellation needed beyond basic sieve bounds.