Equidistributed Sequence - Well-distributed Sequence

Well-distributed Sequence

A bounded sequence {s1, s2, s3, …} of real numbers is said to be well-distributed on if for any subinterval of we have

uniformly in k. Clearly every well-distributed sequence is uniformly distributed, but the converse does not hold. The definition of well-distributed modulo 1 is analogous.

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