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A variational Barban-Davenport-Halberstam theorem - MaRDI portal

A variational Barban-Davenport-Halberstam theorem (Q432472)

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scientific article; zbMATH DE number 6052917
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A variational Barban-Davenport-Halberstam theorem
scientific article; zbMATH DE number 6052917

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    A variational Barban-Davenport-Halberstam theorem (English)
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    4 July 2012
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    primes
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    prime gaps
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    large sieve
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    We give the authors' concise and precise summary:NEWLINENEWLINE``We prove variational forms of the Barban-Davenport-Halberstam Theorem and the large sieve inequality. We apply our result to prove an estimate for the sum of the squares of prime differences, averaged over arithmetic progressions.''
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