变分Barban-Davenport-Halberten定理
A Variational Barban-Davenport-Halberstam Theorem
摘要：
本文证明了Barban-Davenport-Halberten定理和大筛不等式的变分形式。我们应用我们的结果证明估计的平方和的素数差异，平均超过等差数列。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
