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arxiv: 1111.6190 · v2 · pith:D7B5YQMNnew · submitted 2011-11-26 · 🧮 math.NT

A Variational Barban-Davenport-Halberstam Theorem

classification 🧮 math.NT
keywords barban-davenport-halberstamprovetheoremvariationalapplyarithmeticaverageddifferences
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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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