A variational Barban-Davenport-Halberstam Theorem

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• 作者：Allison Lewko^a ; ¹ ; ^{alewko@cs.utexas.edu} ; Mark Lewko^b ; ^{mlewko@math.utexas.edu}
• 关键词：11N13
• 刊名：Journal of Number Theory
• 出版年：2012
• 期刊代码：78_0022314x
• 类别：mt
• 出版时间：September, 2012
• 卷：132
• 期：9
• 页码：2020-2045
• 文件大小：259 K

摘要

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.