Weyl sums

GPTKB entity

Statements (19)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:defines finite sums of the form \( \sum_{n=M+1}^{M+N} e(f(n)) \) where \( f \) is a real-valued function and \( e(x) = e^{2\pi i x} \)
gptkbp:field analytic number theory
gptkbp:generalizes gptkb:Gauss_sums
Kloosterman sums
gptkbp:importantFor gptkb:Goldbach_conjecture
gptkb:Waring's_problem
bounding trigonometric sums
distribution of sequences modulo 1
gptkbp:namedAfter gptkb:Hermann_Weyl
gptkbp:relatedTo gptkb:Hardy-Littlewood_circle_method
gptkb:Vinogradov's_method
exponential sums
gptkbp:usedIn gptkb:Weyl's_criterion
proofs of equidistribution
estimation of exponential sums
gptkbp:bfsParent gptkb:Weyl_differencing
gptkbp:bfsLayer 8
https://www.w3.org/2000/01/rdf-schema#label Weyl sums