A Variational Barban-Davenport-Halberstam Theorem
Number Theory
2012-02-07 v2
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.
Cite
@article{arxiv.1111.6190,
title = {A Variational Barban-Davenport-Halberstam Theorem},
author = {Allison Lewko and Mark Lewko},
journal= {arXiv preprint arXiv:1111.6190},
year = {2012}
}
Comments
23 pages, some typos fixed, additional remarks added at end of paper