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A Note on Well-Distributed Sequences

A Note on Well-Distributed Sequences

A sequence is said to be well distributed (mod 1) (3, 4, 5) if the limit (1.1) exists, uniformly in p ≥ 0, for all intervals I in [0, 1], with length | I |, characteristic function where (x) is the fractional part of x . If (1.1) is true …