%0 Journal Article
%T A Variational Barban-Davenport-Halberstam Theorem
%A Allison Lewko
%A Mark Lewko
%J Mathematics
%D 2011
%I arXiv
%X 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.
%U http://arxiv.org/abs/1111.6190v2