非線形問題と複素幾何学
《非線形問題と複素幾何学》 · 第 151–152 页 · Chapter 9「The Large Sieve」,Section 9.1「The Basic Inequality」
The large sieve inequality asserts that $\sum_r|S(\alpha_r)|^2\le D(\delta,N)\sum_n|a_n|^2$, where $D(\delta,N)$ depends only on $\delta$ and $N$. Theorem 9.1 gives $\sum_r|S(\alpha_r)|^2\le(\delta^{-1}+N-1)\sum_n|a_n|^2$.