Well-distributed sequences with respect to systems of convex sets

Niederreiter, H.

doi:10.1090/S0002-9939-1975-0357362-9

Well-distributed sequences with respect to systems of convex sets
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Proc. Amer. Math. Soc. 47 (1975), 305-310 Request permission

Abstract:

A theorem of W. M. Schmidt concerning the existence of sequences which are extremely well distributed with respect to suitable convex sets is generalized. We prove the existence of sequences which are simultaneously well distributed with respect to suitable systems of convex sets. The proof depends on combinatorial results dealing with the distribution of sequences in finite and countable sets.

References

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Additional Information

Journal: Proc. Amer. Math. Soc. 47 (1975), 305-310
DOI: https://doi.org/10.1090/S0002-9939-1975-0357362-9
MathSciNet review: 0357362