If for each positive integer , the sequence is uniformly distributed (mod 1), then the sequence is uniformly distributed (mod 1) (Montgomery 2001).
van der Corput's Theorem
See also
Equidistributed SequenceExplore with Wolfram|Alpha
References
Montgomery, H. L. "Harmonic Analysis as Found in Analytic Number Theory." In Twentieth Century Harmonic Analysis--A Celebration. Proceedings of the NATO Advanced Study Institute Held in Il Ciocco, July 2-15, 2000 (Ed. J. S. Byrnes). Dordrecht, Netherlands: Kluwer, pp. 271-293, 2001.Referenced on Wolfram|Alpha
van der Corput's TheoremCite this as:
Weisstein, Eric W. "van der Corput's Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/vanderCorputsTheorem.html