Horizontal moments of Kloosterman sums and a density version of sieves

Ping Xi

Denote by $\mathrm{Kl}(a,n)$ the normalized Kloosterman sum modulo $n$. In this paper, we study the moments of $|\mathrm{Kl}(1,n)|$ on average over $n⩽X$, and show that \b…