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Über das Primzahl-Zwillingsproblem. (On the twin-prime problem). (English) Zbl 0646.10033
It is shown that for ‘almost all’ numbers \(k\leq x\) and all \(y\in [2x,x^{8/5-\epsilon}]\) the number of prime pairs \(\leq y\) with difference 2k is asymptotically equal to the expression conjectured by Hardy-Littlewood. This improves earlier results of van der Corput and Lavrik.
Reviewer: D.Wolke

MSC:
11N05 Distribution of primes
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References:
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