On the covariance of a random sequence generated by the fractional part of multiples of a uniformly distributed random variable

Abstract

Let V be uniformly distributed over [0, 1) and Then COV which implies that Xn are asymptotically uncorrelated

Keywords:

• Fractional parts
• covariance
• uniform distribution
• greatest common divisor
• lowest common multiple
• MR-Classifications: 11K31, 11K06, 62J10, 94A14

Notes

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