A Variational Barban-Davenport-Halberstam Theorem

2011/11/26 by Allison Lewko, Lewko, Allison, Mark Lewko +1
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1111.6190

23 pages, some typos fixed, additional remarks added at end of paper

arxiv created 2012/02/06 · arxiv updated 2012/02/07

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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