Über das Primzahl-Zwillingsproblem. (On the twin-prime problem) (Q1103669)
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scientific article; zbMATH DE number 4053739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Über das Primzahl-Zwillingsproblem. (On the twin-prime problem) |
scientific article; zbMATH DE number 4053739 |
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Über das Primzahl-Zwillingsproblem. (On the twin-prime problem) (English)
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1989
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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.
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number of twin primes
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