非線形問題と複素幾何学
《非線形問題と複素幾何学》 · 第 406 页 · Chapter 22「Level of Distribution of Arithmetic Sequences」
It would be of great value to prove the Elliott-Halberstam Conjecture: Conjecture. We have $\max_{(a,q)=1,\ q\le Q}|\psi(x;q,a)-x/\varphi(q)|\ll x(\log x)^{-A}$, where $Q=x^\theta$ with any $\theta<1$ and any $A>0$.