Density of non-residues in Burgess-type intervals and applications

W. D. Banks, M. Z. Garaev, D. R. Heath-Brown +1

We show that for any fixed $\eps>0$, there are numbers $\delta >0$ and $p_0\ge 2$ with the following property: for every prime $p\ge p_0$ and every integer $N$ such that $p^{1/(4\sqrt{e}…