A Variational Barban-Davenport-Halberstam Theorem

Details A Variational Barban-Davenport-Halberstam Theorem A Variational Barban-Davenport-Halberstam Theorem

2011-11-26

arxiv.org/abs/1111.6190v2

Mathematics

Number Theory

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

Scientific paper

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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