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A Variational Barban-Davenport-Halberstam Theorem

Published 26 Nov 2011 in math.NT | (1111.6190v2)

Abstract: 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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