Weyl's criterion

GPTKB entity
AI-created image of Weyl's criterion
AI-created image

Statements (14)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo sequences of real numbers
gptkbp:describes uniform distribution mod 1
gptkbp:field harmonic analysis
number theory
https://www.w3.org/2000/01/rdf-schema#label Weyl's criterion
gptkbp:namedAfter gptkb:Hermann_Weyl
gptkbp:publicationYear 1916
gptkbp:publishedIn gptkb:Mathematische_Annalen
gptkbp:state A sequence is uniformly distributed mod 1 if and only if the exponential sums converge to zero for all nonzero integers.
gptkbp:usedIn gptkb:discrepancy_theory
ergodic theory
gptkbp:bfsParent gptkb:Hermann_Weyl
gptkbp:bfsLayer 4