### On the differences of primes in arithmetical progressions

Martin Huxley (1969)

Acta Arithmetica

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Martin Huxley (1969)

Acta Arithmetica

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H. Stark (1969)

Acta Arithmetica

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Carsten Schütt (1984)

Studia Mathematica

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Kenneth Williams (1981)

Acta Arithmetica

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D. Lehmer, Emma Lehmer (1968)

Acta Arithmetica

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H Stark (1968)

Acta Arithmetica

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Franciszek Czekała (1996)

Applicationes Mathematicae

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The paper is concerned with the asymptotic normality of a certain statistic based on the logarithms of disjoint m-spacings. The exact and asymptotic mean and variance are computed in the case of uniform distribution on the interval [0,1]. This result is generalized to the case when the sample is drawn from a distribution with positive step density on [0,1].

D. Lehmer, Emma Lehmer (1967)

Acta Arithmetica

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Carsten Schütt (1982)

Studia Mathematica

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