Alexandru Pascadi

Non-Abelian Amplification and Bilinear Forms with Kloosterman Sums

Abstract We introduce a new method to bound bilinear (Type II) sums of Kloosterman sums with composite moduli $c$ c , using Fourier analysis on $\mathrm{SL}_{2}(\mathbb{Z}/c\mathbb{Z})$ SL 2 ( Z / c Z ) and an amplification argument with non-abelian characters. For sums of length...